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# More than one Quadratic equations

## More than one Quadratic equations

More than one Quadratic equations shortcut tricks are very important thing to know for your exams. Competitive exams are all about time. If you know time management then everything will be easier for you. Most of us miss this thing. Few examples on more than one quadratic equations shortcuts is given in this page below. We try to provide all types of shortcut tricks on more than one quadratic equations here. Visitors please read carefully all shortcut examples. You can understand shortcut tricks on More than one Quadratic equations by these examples.

First of all do a practice set on math of any exam. Choose any twenty math problems and write it down on a page. Using basic math formula do first ten maths of that page. You also need to keep track of timing. After finish write down total time taken by you to solve those ten maths. Now go through our page for more than one quadratic equations shortcut trick. After doing this go back to the remaining ten questions and solve those using shortcut methods. Again keep track of Timing. The timing will be surely improved this time. But this is not enough. You need more practice to improve your timing more.

We all know that the most important thing in competitive exams is Mathematics. It doesn’t mean that other topics are not so important. But only math portion can leads you to a good score. A good score comes with practice and practice. The only thing you need to do is to do your math problems correctly and within time, and you can do this only by using shortcut tricks. Again it does not mean that you can’t do maths without using shortcut tricks. You may have that potential to do maths within time without using any shortcut tricks.

But, so many other people may not do the same. So More than one Quadratic equations shortcut tricks here for those people. We try our level best to put together all types of shortcut methods here. But we may miss few of them. If you know anything else rather than this please do share with us. Your little help will help others.

In this type quadratic equation has more than two equations are given. we need to solve both the equations individually.

In maths exam papers there are two or three question are given from this chapter. This type of problem are given in Quantitative Aptitude which is a very essential paper in banking exam. Under below  given some more example for your better practice.

In thus type of quadratic equation, the maximum power of unknown variable is two.

### Example:

ax2 + bx + c = 0

It is equal to 0 and the a, b, c are the constant value and we can say that x represent as unknown.

Example:

mx2 + nx + p = 0

It is equal to 0 and the m, n, p are the constant value and we can say that x represent as unknown.

The a, b, c are the constant and quadratic coefficient or linear coefficient. Quadratic equation hold the only power of x which is also non negative integer. Same in equation mx2 + nx + p = 0.

First of all you need to solve both equation and choose the answer from the option below.

1. 1. x > y
2. 2. x > y
3. 3. x < y
4. 4. x < y
5. 5. x = y relation can not be determined.

Example:

5x2 + 11x + 6 = 0
4y2 + 10y + 6 = 0

In equation one multiply 5 and 6 get the result is 30 separate 30 as 5 and 6 which is addition of 5 + 6 = 11.
In equation two multiply 4 and 6 get the result is 24 separate 24 as 4 and 6 which is addition of 4 + 6 = 10.

Switch the sign in to negative and divide by coefficient of x2. -5 / 5 = -1 and -6 / 5 = -6 / 5.
For the second equation, do same that is, -4 / 4 = -1 and -6 / 4 = -3 / 2.

Now we get the solution is, for x = -1 and -6 / 5.
Now we get the solution is, for y = -1 and -3 / 2.

### Few examples of Inequality with Shortcut Tricks

If You Have any question regarding this topic then please do comment on below section. You can also send us message on facebook.

1. nikita says:

how to choose the answers wen x_> y or y>_ x

2. nikita says:

• depends on sign and value suppose, x = 4, -1/2
y = -5/2, -3/2
so, x>y because 4 is greater than y like -5/2, -4/2 and -1/2 is greater than -5/2, -3/2.

• moin says:

then,
1)x=-5, 4
y=-5, 6

2)x= -5, 6
y= 4, 6

what is the relation betwn x nd y, when they are like this

• anmol says:

In this case relationship cannot be established since one value of x is grtr and other smaller dan y

• Bose says:

x<=y

• for instance one no. is greater n another, what would we do

• pankaj says:

suppose x=1 and 5 and y =1 and -1 than in this case x_>y

3. papun panigrahi says:

what are the roots of 2x square-11s-76=0

• RJ says:

19/2, -4

• Kunwar Neeraj says:

-8/11,19/11

4. Thamarai kannan says:

There any chance to find the answer from given choice ….

5. narayana.k says:

Please explain some examples for x=y and x=y or relation can’t be determined cases

6. Bidang says:

Aftr solving the roots, Place the values of X and Y in number line
Then check for x and y values
1. If all X is on the rightside of Y its X> Y
2. If all Y is on the rightside of X its Y>X
3. If the values of X and Y Crossover its other it’s relation can’t be determined

7. manivasakam says:

Explain how to choose the answer?

8. arun says:

Some times it is very difficult to find multiply of constant no that fullfill condition of middle term…any trick for it
For ex.
1). 7Xsquare -29x+30=0
Via short trick How to find multiply of 210

2). 4Xsquare-36X+81

• 7x^2 – 29x – 30
Trick:+7 x -30 = -210 = -35 + 6
change sigh and divided it by coefficient of x = + 35 / 7 = +5, – 6 / 7 = – 6 / 7.

• rahul rba says:

Sir plz explain how to compare the values of x and y ?

9. rahul rba says:

Sir plz explain how to chose the ans and how to compare the valus of x and y ? Plz i can solve the values but unable to conpare ?

10. HARSH says:

How to solve 8x^2+ 31x+21=0???

11. Anita kujur says:

thanku for all this tricks its very helpful

• Chinu says:

Pls solve it 6x^2+5x+1=0,15y^2+8y+1=0 than which one is correct a)y>x b)y>_x

• Chinu says:

6×2+5x+1 ,15y2+8y+1 solved it Which one y>x ,y>~x

12. Chinu says:

Solve it 6x^2+5x+1=0 ,15y^2+8y+1=0. Which one is correct a) y>x b) y>~x

13. VINOD says:

X^2-19X+84=0,Y^2-25Y+156=0
relation between X and Y?

• Neha says:

If question says
Y^2-9y+20 plc calculate

14. NIKHIL says:

8x^2+42x+27=0
15y^2+43y+30=0

How can v solve this in short period of time ??

15. Sil says:

I read somewhere there is a trick by which we can ans just by looking the signs of two equations. Can u pls mention that trick ??

16. Gaurab says:

how can I solve this in short period of time

12x^2-55x+63= 0
4y^2-17y+18=0