5x2-36x+36=0

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Solution for 5x2-36x+36=0 equation:



5x^2-36x+36=0
a = 5; b = -36; c = +36;
Δ = b2-4ac
Δ = -362-4·5·36
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-24}{2*5}=\frac{12}{10} =1+1/5 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+24}{2*5}=\frac{60}{10} =6 $

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