Question

Find x if 2x-² x 5 x-⁴​

Answer 1

Answer:

let 2x/x-5 be a

a^2 + 5a - 24 =0

a^2 +8a -3a -24

a(a+8) - 3(a+8)

(a+8)(a-3)

now put value of a

2x/x-5 - 3 =0

2x/x-5 = 3

2x=3x-15

x=15

in second case

2x/x-5 +8 =0

2x / x-5=-8

2x = -8x +40

10 x =40

x=4

so value of can be 4 and 15 both will satisfy the equation