x^2-20x+15=x+5

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Solution for x^2-20x+15=x+5 equation:



x^2-20x+15=x+5
We move all terms to the left:
x^2-20x+15-(x+5)=0
We get rid of parentheses
x^2-20x-x-5+15=0
We add all the numbers together, and all the variables
x^2-21x+10=0
a = 1; b = -21; c = +10;
Δ = b2-4ac
Δ = -212-4·1·10
Δ = 401
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{-(-21)-\sqrt{401}}{2*1}=\frac{21-\sqrt{401}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21)+\sqrt{401}}{2*1}=\frac{21+\sqrt{401}}{2} $

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