The equation is $e^x = x^2 - 2$. I know the answer is $x\approx -1.49$ from searching the equation online but the way it showed the solution was just drawing the graphs. is there a way to estimate it by isolating the x?
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See this post for an estimate. It also works for $e^x=x^2-2$. – Dietrich Burde Dec 30 '21 at 17:05
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There is no algebraic way that I know of that will solve this for $x$. You could estimate it by bisection or using a Taylor polynomial, but the latter is beyond precalculus. – Randall Dec 30 '21 at 17:07