x*2x=10290

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Solution for x*2x=10290 equation:



x*2x=10290
We move all terms to the left:
x*2x-(10290)=0
Wy multiply elements
2x^2-10290=0
a = 2; b = 0; c = -10290;
Δ = b2-4ac
Δ = 02-4·2·(-10290)
Δ = 82320
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:
$\sqrt{\Delta}=\sqrt{82320}=\sqrt{784*105}=\sqrt{784}*\sqrt{105}=28\sqrt{105}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28\sqrt{105}}{2*2}=\frac{0-28\sqrt{105}}{4} =-\frac{28\sqrt{105}}{4} =-7\sqrt{105} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28\sqrt{105}}{2*2}=\frac{0+28\sqrt{105}}{4} =\frac{28\sqrt{105}}{4} =7\sqrt{105} $

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