36x^2-90x+25=0

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Solution for 36x^2-90x+25=0 equation:



36x^2-90x+25=0
a = 36; b = -90; c = +25;
Δ = b2-4ac
Δ = -902-4·36·25
Δ = 4500
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:
$\sqrt{\Delta}=\sqrt{4500}=\sqrt{900*5}=\sqrt{900}*\sqrt{5}=30\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-90)-30\sqrt{5}}{2*36}=\frac{90-30\sqrt{5}}{72} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-90)+30\sqrt{5}}{2*36}=\frac{90+30\sqrt{5}}{72} $

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