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8x*x=180
We move all terms to the left:
8x*x-(180)=0
Wy multiply elements
8x^2-180=0
a = 8; b = 0; c = -180;
Δ = b2-4ac
Δ = 02-4·8·(-180)
Δ = 5760
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{5760}=\sqrt{576*10}=\sqrt{576}*\sqrt{10}=24\sqrt{10}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{10}}{2*8}=\frac{0-24\sqrt{10}}{16} =-\frac{24\sqrt{10}}{16} =-\frac{3\sqrt{10}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{10}}{2*8}=\frac{0+24\sqrt{10}}{16} =\frac{24\sqrt{10}}{16} =\frac{3\sqrt{10}}{2} $
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