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5x*3x=100000
We move all terms to the left:
5x*3x-(100000)=0
Wy multiply elements
15x^2-100000=0
a = 15; b = 0; c = -100000;
Δ = b2-4ac
Δ = 02-4·15·(-100000)
Δ = 6000000
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{6000000}=\sqrt{1000000*6}=\sqrt{1000000}*\sqrt{6}=1000\sqrt{6}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1000\sqrt{6}}{2*15}=\frac{0-1000\sqrt{6}}{30} =-\frac{1000\sqrt{6}}{30} =-\frac{100\sqrt{6}}{3} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1000\sqrt{6}}{2*15}=\frac{0+1000\sqrt{6}}{30} =\frac{1000\sqrt{6}}{30} =\frac{100\sqrt{6}}{3} $
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