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quadratic equation ssc |
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Re: quadratic equation ssc
Quadratic equation problems is one of the important part of quantitative aptitude and it is bit tricky and confusing too. You have to go with proper methods and tricks to solve them. Here we are providing you some tips and tricks to solve the quadratic equations faster and easily. TIPS AND TRICKS If in an equation the sign of X is +, + then its solution should be -, – sign. If sign of X is -, + then its solution should be +, + sign. If sign of X is +, – then its solution is should be -, + sign. If sign of X is -, – then its solution is should be +, – sign. For example: X2 + 7X + 12 = 0 Y2 – 5Y + 6 = 0 The signs of X’s equation are + and +, which means their solution is – and -. Both negative values. The signs of Y’s equation are – and +, which means their solution values are + and +. Both positive values. X’s possible values are both negative and Y’s possible values are both positive. Tricks: In quadratic Equations we have the following options to choose from:- X >Y Y >X X >= Y Y>= X X = Y or relationship cannot be established. Now, Suppose on solving the quadratic equation we get X = -1, 3 And Y = -2, -4 On putting these values on number line we will see that X lies on the right of Y. Hence, we can say that X>Y or Y<X. Now, suppose if after solving the equation we get X = -1, 5 and Y= 3, 4. On putting these values on number line we see that Y lies to the right of X without touching X at any point. Hence, we can say that Y>X or X<Y. If X= 3, 4 and Y= 2, 3. Putting this on number line we get X to the right of Y but touching Y at one single point i.e., 3. Hence, X>=Y or Y<=X. If X=3, 4 and Y=4, 5. Putting these values on number line we will see that Y lies to the right of X but touching X at 4. Hence, Y>=X or X<=Y. Now, Suppose X= 2, 4 and Y= 3, 5. Putting these values on number line we will see that X touches Y at all the points between 3 and 4 i.e., at 3, 3.1, 3.2, 3.3 etc. up to 4 hence, in this case we cannot relate X and Y and Hence, Will answer as Relationship cannot be established. Also suppose if y=7 and X= 4, 8 then X<y also X>y. Hence, in this case also no relationship can be established. |