-1-2x=-10x2

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Solution for -1-2x=-10x2 equation:



-1-2x=-10x^2
We move all terms to the left:
-1-2x-(-10x^2)=0
We get rid of parentheses
10x^2-2x-1=0
a = 10; b = -2; c = -1;
Δ = b2-4ac
Δ = -22-4·10·(-1)
Δ = 44
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{44}=\sqrt{4*11}=\sqrt{4}*\sqrt{11}=2\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2\sqrt{11}}{2*10}=\frac{2-2\sqrt{11}}{20} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2\sqrt{11}}{2*10}=\frac{2+2\sqrt{11}}{20} $

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