Q. 34.6( 17 Votes )

# Find the ro

Answer :

Given: quadratic equation To find: Roots by factorisation method.

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:

Given, 2x2 - 5x – 3 = 0

By splitting the middle term,

2x2 - 6x + x – 3 = 0

Taking common in the expression,

2x (x - 3) + 1 (x - 3) = 0

(2x + 1) (x - 3) = 0

2x + 1 = 0 and x – 3 = 0

x=-1/2 and x=3

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