Question

what is the value ofx+15/x+5 ​

Answer 1

solution:-

=> x+15/x+5

take conjugate pair of denominator.

take conjugate pair of denominator. x + 5 is x - 5 .

=>( x+15)/(x+5 ) × (x - 5 )/(x - 5)

=>( x + 15 )×(x - 5 )/(x + 5)(x - 5 )

=> x²-5x+15-75/x²-5x+5x-25

=> x²+10x-75/x²-25

=> x²+10x-75 = x² -25

=>x² + 10x - x² -75 + 25 = 0

=> 10x - 50 = 0

=> 10x = 50

=> x = 50/10

=> x = 5

i hope it helps you ......