75x^2-90x=0

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Solution for 75x^2-90x=0 equation:



75x^2-90x=0
a = 75; b = -90; c = 0;
Δ = b2-4ac
Δ = -902-4·75·0
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-90)-90}{2*75}=\frac{0}{150} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-90)+90}{2*75}=\frac{180}{150} =1+1/5 $

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