Question

3^x²-x + 4^x²-x
= 25​

Answer 1

Answer:

Given,

3^(x²-x)+4^(x²-x)=25

We know that

3²+4² =25

So

3^(x²-x)+4^(x²-x)= 3^2 +4^2

It implies that

(x²-x) =2

Or

x²-x-2 =0

(x-2)(x+1)=0

x=-1 or 2

Therefore the solutions to the given equation are (-1) and 2 .

I hope it helps you.