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Quadratic Equations Shortcut Tricks

Quadratic Equations  Shortcut Tricks:

 

Quadratic equations are also one of the scoring parts in aptitude section of bank exams. If you follow this logic/trick for solving these equations to find out the root values you can solve it in seconds of time.

  • A quadratic equation has two roots.
  • Solving a quadratic equation means finding its root values.
  • Generally, the quadratic equation can be solved in two methods traditionally 1) factor Method 2)Formula. But the trick I have explained here different and time-saving technique(shortcut method).

Observe the below example and solve this example using all the above methods and decide yourself which one is better to move further.

Quadratic Equations for PRACTICE With Shortcuts and Explaination


Example : 

X2 – 5X + 6 =0
Y2 +24 = 10y . Find the relation between X and Y?
(1) X > Y   (2) X < Y   (3) X = Y   (4) X ≤ Y   (5) X ≥ Y.
Sol: (1) Factor Method :
X2 -3X – 2X +6 =0

  • X(X-3) – 2(X – 3) =0
  • (X-3)(X-2) =0
  • X=3, X=2

Y2 -10Y +24 = 0

  • Y2 -6Y -4Y +24 =0
  • Y(Y-6) -4(Y-6) =0
  • (Y-6)(Y-4) =0
  • Y=6, Y =4

Therefore, X < Y.
Formula Method : The quadratic equation ax2 + bx +c =0 where a,b &c  £ R  and a ≠ 0 has two roots namely.