(x*x)-3x=100

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Solution for (x*x)-3x=100 equation:



(x*x)-3x=100
We move all terms to the left:
(x*x)-3x-(100)=0
We add all the numbers together, and all the variables
(+x*x)-3x-100=0
We add all the numbers together, and all the variables
-3x+(+x*x)-100=0
We get rid of parentheses
-3x+x*x-100=0
Wy multiply elements
x^2-3x-100=0
a = 1; b = -3; c = -100;
Δ = b2-4ac
Δ = -32-4·1·(-100)
Δ = 409
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-\sqrt{409}}{2*1}=\frac{3-\sqrt{409}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{409}}{2*1}=\frac{3+\sqrt{409}}{2} $

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