x2-166x+-240=0

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Solution for x2-166x+-240=0 equation:



x2-166x+-240=0
We add all the numbers together, and all the variables
x^2-166x=0
a = 1; b = -166; c = 0;
Δ = b2-4ac
Δ = -1662-4·1·0
Δ = 27556
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{27556}=166$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-166)-166}{2*1}=\frac{0}{2} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-166)+166}{2*1}=\frac{332}{2} =166 $

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