Asked by manish
                Solve: 
x^2=16^x
            
        x^2=16^x
Answers
                    Answered by
            Reiny
            
    x^2=16^x <----- let's look at y = x^2 and y = 16^x
https://www.wolframalpha.com/input/?i=x%5E2%3D16%5Ex
It shows they intersect at x = -1/2
check:
if x = -1/2
LS = (-1/2)^2 = 1/4
RS = 16^(-1/2)
= 1/16^(1/2) = 1/√16 = 1/4
so x = -1/2
    
https://www.wolframalpha.com/input/?i=x%5E2%3D16%5Ex
It shows they intersect at x = -1/2
check:
if x = -1/2
LS = (-1/2)^2 = 1/4
RS = 16^(-1/2)
= 1/16^(1/2) = 1/√16 = 1/4
so x = -1/2
                    Answered by
            Michael omoloye
            
    By using b^2=4ac:  x^2 =16^2. 1=4*1*16^x.  1=2^2+4x. So let x=-1/2. 1=1.
    
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