2x^2-22x^2+36x=0

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Solution for 2x^2-22x^2+36x=0 equation:



2x^2-22x^2+36x=0
We add all the numbers together, and all the variables
-20x^2+36x=0
a = -20; b = 36; c = 0;
Δ = b2-4ac
Δ = 362-4·(-20)·0
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-36}{2*-20}=\frac{-72}{-40} =1+4/5 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+36}{2*-20}=\frac{0}{-40} =0 $

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