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Question

Solve The Equation 52x-24×5x-25=0 Find The Roots.


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Solution

The given equation is 52x-24×5x-25=0

Let 5x=t

The given equation gets reduced to, t2-24t-25=0

Using factorization method,

t2-25t+t-25=0

t(t-25)+1(t-25)=0

t+1t-25=0

t+1=0ort-25=0t=-1ort=25

Neglecting t=-1

t=255x=255x=52x=2

Therefore x=2 is the only root for the given equation.


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