6(x^2)-25x=0

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Solution for 6(x^2)-25x=0 equation:



6(x^2)-25x=0
a = 6; b = -25; c = 0;
Δ = b2-4ac
Δ = -252-4·6·0
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-25}{2*6}=\frac{0}{12} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+25}{2*6}=\frac{50}{12} =4+1/6 $

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