Solve for x
x=\frac{\sqrt{5}-1}{2}\approx 0.618033989
x=\frac{-\sqrt{5}-1}{2}\approx -1.618033989
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2x+1=\sqrt{5} 2x+1=-\sqrt{5}
Take the square root of both sides of the equation.
2x+1-1=\sqrt{5}-1 2x+1-1=-\sqrt{5}-1
Subtract 1 from both sides of the equation.
2x=\sqrt{5}-1 2x=-\sqrt{5}-1
Subtracting 1 from itself leaves 0.
2x=\sqrt{5}-1
Subtract 1 from \sqrt{5}.
2x=-\sqrt{5}-1
Subtract 1 from -\sqrt{5}.
\frac{2x}{2}=\frac{\sqrt{5}-1}{2} \frac{2x}{2}=\frac{-\sqrt{5}-1}{2}
Divide both sides by 2.
x=\frac{\sqrt{5}-1}{2} x=\frac{-\sqrt{5}-1}{2}
Dividing by 2 undoes the multiplication by 2.
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Limits
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