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8+12x*12x-21=0
We add all the numbers together, and all the variables
12x*12x-13=0
Wy multiply elements
144x^2-13=0
a = 144; b = 0; c = -13;
Δ = b2-4ac
Δ = 02-4·144·(-13)
Δ = 7488
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{7488}=\sqrt{576*13}=\sqrt{576}*\sqrt{13}=24\sqrt{13}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{13}}{2*144}=\frac{0-24\sqrt{13}}{288} =-\frac{24\sqrt{13}}{288} =-\frac{\sqrt{13}}{12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{13}}{2*144}=\frac{0+24\sqrt{13}}{288} =\frac{24\sqrt{13}}{288} =\frac{\sqrt{13}}{12} $
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