If x₁ and x₂ are the solutions of the equation 5^ ( ₅ x )^2 +x^ ₅ x =1250 , then x₁ x₂ is equal to:

Step-by-step solution

aligned 5^ ( ₅ x )^2 & =x^ ₅ x =a a+a & =1250 a=625=x^ ₅ x ( ₅ x )^2 & = ₅ 625=4 ₅ x & =2 or -2 x=-25 or 1 25 aligned