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a2+4=81
We move all terms to the left:
a2+4-(81)=0
We add all the numbers together, and all the variables
a^2-77=0
a = 1; b = 0; c = -77;
Δ = b2-4ac
Δ = 02-4·1·(-77)
Δ = 308
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{308}=\sqrt{4*77}=\sqrt{4}*\sqrt{77}=2\sqrt{77}$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{77}}{2*1}=\frac{0-2\sqrt{77}}{2} =-\frac{2\sqrt{77}}{2} =-\sqrt{77} $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{77}}{2*1}=\frac{0+2\sqrt{77}}{2} =\frac{2\sqrt{77}}{2} =\sqrt{77} $
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