x2-x=650

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Solution for x2-x=650 equation:



x2-x=650
We move all terms to the left:
x2-x-(650)=0
We add all the numbers together, and all the variables
x^2-1x-650=0
a = 1; b = -1; c = -650;
Δ = b2-4ac
Δ = -12-4·1·(-650)
Δ = 2601
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2601}=51$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-51}{2*1}=\frac{-50}{2} =-25 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+51}{2*1}=\frac{52}{2} =26 $

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