Why I have to use quadratic equation – math.stackexchange.com

I don't understand why this doesn't work: Problem: $$x^{2}+x-2=0$$ Solve: $$x^{2}+x=2$$ $$x+x=\sqrt{2}$$ $$2x≈1.4$$ $$x≈1.4/2$$ $$x≈0.7$$ Checking: (Note: I made the calculation with more decimals ...

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