Q. 94.5( 8 Votes )

# Solve the equatio

Answer :

Given: To find: Roots of the equation

Method Used:

To solve the quadratic equation by factorisation method, follow the steps:

1) Multiply the coefficient of x2 and constant term.

2) factorise the result obtained in step 1.

3) Now choose the pair of factors in such a way that after adding or subtracting(splitting) them

You get coefficient of x.

Explanation:

Consider ,  Apply the formula:

(a + b)2 = a2 + b2 + 2ab

(a - b)2 = a2 + b2 - 2ab

a2-b2 = (a-b) (a +b)   Cross multiply the terms to get,

7(-12) = 48(x2 – 9)

-84x = 48x2 – 432

4x2 + 7x – 36 = 0

4x2 + 16x – 9x – 36 = 0

4x (x + 4) -9(x + 4) = 0

(4x – 9) (x + 4) = 0 Hence the roots are .

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