Question

Solve for x : x2+5x-(a2+a-6)= 0

Answer 1

its a quadratic eqn in x
using sridharacharya formula-
please see the attachement

Answer 2

Please guys mark me the brainliest answer.

I have discovered a new way to solve this

xsquare + 5x -( a square + a -6)=0

xsquare +5x = a square + a -6

By splitting the middle term in RHS.

a=2,-3

Case 1

a=2

xsquare + 5x = 2square +2-6

xsquare + 5x =0

x×x = -5x

x = -5

Case 2

a = -3

xsquare + 5x = (-3)square -3-6

xsquare + 5x = 9-9

xsquare + 5x = 0

x×x = -5x

x = -5

Guys, I have found an easy method for this question.