Question

x^2+5x-(a^2+a-6)=0. Plzz Solve this Quadratic equation

Answer 1

Hello friend !!
x2+5x−(a2+a−6)=0

⇒x2+5x−(a2+3a−2a−6)=0

⇒x2+5x−(a(a+3)−2(a+3))=0

⇒x2+5x−(a+3)(a−2)=0

On factorizing, We get keeping (a+3)(a-2) as constant...

⇒x2+[(a+3)−(a−2)]x−(a+3)(a−2)=0

⇒x2+(a+3)x−(a−2)x−(a+3)(a−2)=0

⇒x[x+(a+3)]−(a−2)[x+(a+3)]=0

⇒[x+(a+3)][x−(a−2)]=0

⇒[x+(a+3)]=0 or [x−(a−2)]=0

⇒x=−(a+3) or x=(a−2)

Hope it helps.

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