Question

Find the non-integral value of x so that 2²ˣ²⁻⁷ˣ⁺⁵=1

Answer 1

2 raise to any power is equal to 1 is only possible when 2 raise to power 0

2x²-7x+5=0

X= -b±√b²-4ac/2a

X=17/4, 11/4