Question

x square + 5x - (a square+ a-6) =0​

Answer 1

Answer:

x = a-3 or x = -(a+2)

Explanation:

a²+a-6

= a²-3a+2a-6

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

= (a-3)(a+2)---(1)

Now ,

x²+5x-(a-3)(a+2)=0

Splitting the middle term , we

get

=> 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)

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