0=3x^2-60

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Solution for 0=3x^2-60 equation:



0=3x^2-60
We move all terms to the left:
0-(3x^2-60)=0
We add all the numbers together, and all the variables
-(3x^2-60)=0
We get rid of parentheses
-3x^2+60=0
a = -3; b = 0; c = +60;
Δ = b2-4ac
Δ = 02-4·(-3)·60
Δ = 720
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:
$\sqrt{\Delta}=\sqrt{720}=\sqrt{144*5}=\sqrt{144}*\sqrt{5}=12\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{5}}{2*-3}=\frac{0-12\sqrt{5}}{-6} =-\frac{12\sqrt{5}}{-6} =-\frac{2\sqrt{5}}{-1} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{5}}{2*-3}=\frac{0+12\sqrt{5}}{-6} =\frac{12\sqrt{5}}{-6} =\frac{2\sqrt{5}}{-1} $

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