75x2=25

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Solution for 75x2=25 equation:



75x^2=25
We move all terms to the left:
75x^2-(25)=0
a = 75; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·75·(-25)
Δ = 7500
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:
$\sqrt{\Delta}=\sqrt{7500}=\sqrt{2500*3}=\sqrt{2500}*\sqrt{3}=50\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-50\sqrt{3}}{2*75}=\frac{0-50\sqrt{3}}{150} =-\frac{50\sqrt{3}}{150} =-\frac{\sqrt{3}}{3} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+50\sqrt{3}}{2*75}=\frac{0+50\sqrt{3}}{150} =\frac{50\sqrt{3}}{150} =\frac{\sqrt{3}}{3} $

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