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x^2+15x+26=180
We move all terms to the left:
x^2+15x+26-(180)=0
We add all the numbers together, and all the variables
x^2+15x-154=0
a = 1; b = 15; c = -154;
Δ = b2-4ac
Δ = 152-4·1·(-154)
Δ = 841
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{841}=29$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-29}{2*1}=\frac{-44}{2} =-22 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+29}{2*1}=\frac{14}{2} =7 $
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