90=x^2-4x

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Solution for 90=x^2-4x equation:



90=x^2-4x
We move all terms to the left:
90-(x^2-4x)=0
We get rid of parentheses
-x^2+4x+90=0
We add all the numbers together, and all the variables
-1x^2+4x+90=0
a = -1; b = 4; c = +90;
Δ = b2-4ac
Δ = 42-4·(-1)·90
Δ = 376
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:
$\sqrt{\Delta}=\sqrt{376}=\sqrt{4*94}=\sqrt{4}*\sqrt{94}=2\sqrt{94}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-2\sqrt{94}}{2*-1}=\frac{-4-2\sqrt{94}}{-2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+2\sqrt{94}}{2*-1}=\frac{-4+2\sqrt{94}}{-2} $

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