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X2-20X-61=0
We add all the numbers together, and all the variables
X^2-20X-61=0
a = 1; b = -20; c = -61;
Δ = b2-4ac
Δ = -202-4·1·(-61)
Δ = 644
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{644}=\sqrt{4*161}=\sqrt{4}*\sqrt{161}=2\sqrt{161}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-2\sqrt{161}}{2*1}=\frac{20-2\sqrt{161}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+2\sqrt{161}}{2*1}=\frac{20+2\sqrt{161}}{2} $
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