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87=X*2X
We move all terms to the left:
87-(X*2X)=0
We add all the numbers together, and all the variables
-(+X*2X)+87=0
We get rid of parentheses
-X*2X+87=0
Wy multiply elements
-2X^2+87=0
a = -2; b = 0; c = +87;
Δ = b2-4ac
Δ = 02-4·(-2)·87
Δ = 696
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{696}=\sqrt{4*174}=\sqrt{4}*\sqrt{174}=2\sqrt{174}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{174}}{2*-2}=\frac{0-2\sqrt{174}}{-4} =-\frac{2\sqrt{174}}{-4} =-\frac{\sqrt{174}}{-2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{174}}{2*-2}=\frac{0+2\sqrt{174}}{-4} =\frac{2\sqrt{174}}{-4} =\frac{\sqrt{174}}{-2} $
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