(x*x)-12x+35=8

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Solution for (x*x)-12x+35=8 equation:



(x*x)-12x+35=8
We move all terms to the left:
(x*x)-12x+35-(8)=0
We add all the numbers together, and all the variables
(+x*x)-12x+35-8=0
We add all the numbers together, and all the variables
-12x+(+x*x)+27=0
We get rid of parentheses
-12x+x*x+27=0
Wy multiply elements
x^2-12x+27=0
a = 1; b = -12; c = +27;
Δ = b2-4ac
Δ = -122-4·1·27
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-6}{2*1}=\frac{6}{2} =3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+6}{2*1}=\frac{18}{2} =9 $

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