x=x+1 has absolutely no solutions, how about sqrt(x)=x+1?

x=x+1 has absolutely no solutions, how about sqrt(x)=x+1?

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Why isn't abs(x) differentiable at x=0? (definition of derivative)
Why isn't abs(x) differentiable at x=0? (definition of derivative)
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Why isn't abs(x) differentiable at x=0? (definition of derivative)

Why isn't abs(x) differentiable at x=0? (definition of derivative)
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No. of solution of equation : `sinx=x^2+x+1`