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X*2X=90
We move all terms to the left:
X*2X-(90)=0
Wy multiply elements
2X^2-90=0
a = 2; b = 0; c = -90;
Δ = b2-4ac
Δ = 02-4·2·(-90)
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*2}=\frac{0-12\sqrt{5}}{4} =-\frac{12\sqrt{5}}{4} =-3\sqrt{5} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{5}}{2*2}=\frac{0+12\sqrt{5}}{4} =\frac{12\sqrt{5}}{4} =3\sqrt{5} $
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