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n2-2n-154=0
We add all the numbers together, and all the variables
n^2-2n-154=0
a = 1; b = -2; c = -154;
Δ = b2-4ac
Δ = -22-4·1·(-154)
Δ = 620
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{620}=\sqrt{4*155}=\sqrt{4}*\sqrt{155}=2\sqrt{155}$$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2\sqrt{155}}{2*1}=\frac{2-2\sqrt{155}}{2} $$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2\sqrt{155}}{2*1}=\frac{2+2\sqrt{155}}{2} $
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