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12.92=130x*60x
We move all terms to the left:
12.92-(130x*60x)=0
We add all the numbers together, and all the variables
-(+130x*60x)+12.92=0
We get rid of parentheses
-130x*60x+12.92=0
Wy multiply elements
-7800x^2+12.92=0
a = -7800; b = 0; c = +12.92;
Δ = b2-4ac
Δ = 02-4·(-7800)·12.92
Δ = 403104
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{403104}=\sqrt{16*25194}=\sqrt{16}*\sqrt{25194}=4\sqrt{25194}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{25194}}{2*-7800}=\frac{0-4\sqrt{25194}}{-15600} =-\frac{4\sqrt{25194}}{-15600} =-\frac{\sqrt{25194}}{-3900} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{25194}}{2*-7800}=\frac{0+4\sqrt{25194}}{-15600} =\frac{4\sqrt{25194}}{-15600} =\frac{\sqrt{25194}}{-3900} $
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