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5x*3x=126
We move all terms to the left:
5x*3x-(126)=0
Wy multiply elements
15x^2-126=0
a = 15; b = 0; c = -126;
Δ = b2-4ac
Δ = 02-4·15·(-126)
Δ = 7560
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{7560}=\sqrt{36*210}=\sqrt{36}*\sqrt{210}=6\sqrt{210}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{210}}{2*15}=\frac{0-6\sqrt{210}}{30} =-\frac{6\sqrt{210}}{30} =-\frac{\sqrt{210}}{5} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{210}}{2*15}=\frac{0+6\sqrt{210}}{30} =\frac{6\sqrt{210}}{30} =\frac{\sqrt{210}}{5} $
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