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x2+18x-155=0
We add all the numbers together, and all the variables
x^2+18x-155=0
a = 1; b = 18; c = -155;
Δ = b2-4ac
Δ = 182-4·1·(-155)
Δ = 944
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{944}=\sqrt{16*59}=\sqrt{16}*\sqrt{59}=4\sqrt{59}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-4\sqrt{59}}{2*1}=\frac{-18-4\sqrt{59}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+4\sqrt{59}}{2*1}=\frac{-18+4\sqrt{59}}{2} $
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