Question

Solve by factorising: From Quadratic Equation

(7.) 2x^2 + ax - a^2 = 0

(Ans: ) - a , a / 2

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Answer 1

Hey user

Here is your answer :-

2x^2 + ax - a^2 = 0

》2x^2 + 2ax - ax - a^2 = 0

》2x ( x + a ) - a ( x + a ) = 0

》( x + a )( 2x - a ) = 0

x + a = 0 or 2x - a = 0

x = - a or x = a/2

Thank you

Answer 2

Hii there!!

2x^2 + ax - a^2

( Factorising by spitting the middle term )

= 2x^2 + 2ax - ax - a^2

= 2x ( x + a ) - a ( x + a )

= ( x + a ) ( 2x - a )

Hope it helps.....