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x*2x=7500
We move all terms to the left:
x*2x-(7500)=0
Wy multiply elements
2x^2-7500=0
a = 2; b = 0; c = -7500;
Δ = b2-4ac
Δ = 02-4·2·(-7500)
Δ = 60000
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{60000}=\sqrt{10000*6}=\sqrt{10000}*\sqrt{6}=100\sqrt{6}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100\sqrt{6}}{2*2}=\frac{0-100\sqrt{6}}{4} =-\frac{100\sqrt{6}}{4} =-25\sqrt{6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100\sqrt{6}}{2*2}=\frac{0+100\sqrt{6}}{4} =\frac{100\sqrt{6}}{4} =25\sqrt{6} $
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