The number of real solution of equation (frac | vedclass

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Question

Let $f(x)=-x^{2}+5 x-10$ and $g(x)=\left(\frac{3}{2}\right)^{x}$

$f(x)_{\max }=\frac{-D}{4 a}=\frac{-15}{4}$ and $g(x)>0$

so $f(x)=g(x)$ has

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Vedclass · Answer

Let $f(x)=-x^{2}+5 x-10$ and $g(x)=\left(\frac{3}{2}\right)^{x}$

$f(x)_{\max }=\frac{-D}{4 a}=\frac{-15}{4}$ and $g(x)>0$

so $f(x)=g(x)$ has no Real solutions

The number of real solution of equation $(\frac{3}{2})^x = -x^2 + 5x-10$ :-

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