8995=x^2-20x+30

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Solution for 8995=x^2-20x+30 equation:



8995=x^2-20x+30
We move all terms to the left:
8995-(x^2-20x+30)=0
We get rid of parentheses
-x^2+20x-30+8995=0
We add all the numbers together, and all the variables
-1x^2+20x+8965=0
a = -1; b = 20; c = +8965;
Δ = b2-4ac
Δ = 202-4·(-1)·8965
Δ = 36260
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:
$\sqrt{\Delta}=\sqrt{36260}=\sqrt{196*185}=\sqrt{196}*\sqrt{185}=14\sqrt{185}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-14\sqrt{185}}{2*-1}=\frac{-20-14\sqrt{185}}{-2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+14\sqrt{185}}{2*-1}=\frac{-20+14\sqrt{185}}{-2} $

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