- #1

knowLittle

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## Homework Statement

Prove Existence Unique Real Solution to

## x^{3} + x^{2} -1 =0 ## between ## x= \frac{2}{3} \text{and} x=1##

## The Attempt at a Solution

## x^{2} ( x+1) =1 ##

I know that the solution is x =0.75488, but this came from some website. How do I find this number without a calculator?