Question

Solve for x.
${x}^{2} + 5x - ( {a}^{2} + a - 6) = 0 \: \: \: .$

Answer 1

$\huge{ \mathbb{QUESTION:-}}$


x²+5x-(a²+a-6)=0



$\huge{ \mathbb{SOLUTION:-}}$




$\bold{\mathsf{Method\: of \: Solution}}$

=> 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-2)(a+3)=0



=>x²+(a+3)x-(a-2)x-(a-2)(a+3)=0



=> x[x+(a+3)-(a-2)[x+(a+3)]=0



=> [x+(a+3)]=0


=> x=-(a+3)



[x-(a-2)]=0


=> x=a-2


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