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6x*6x+4=220
We move all terms to the left:
6x*6x+4-(220)=0
We add all the numbers together, and all the variables
6x*6x-216=0
Wy multiply elements
36x^2-216=0
a = 36; b = 0; c = -216;
Δ = b2-4ac
Δ = 02-4·36·(-216)
Δ = 31104
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{31104}=\sqrt{5184*6}=\sqrt{5184}*\sqrt{6}=72\sqrt{6}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72\sqrt{6}}{2*36}=\frac{0-72\sqrt{6}}{72} =-\frac{72\sqrt{6}}{72} =-\sqrt{6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72\sqrt{6}}{2*36}=\frac{0+72\sqrt{6}}{72} =\frac{72\sqrt{6}}{72} =\sqrt{6} $
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