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(X2-21)+X=180
We move all terms to the left:
(X2-21)+X-(180)=0
We add all the numbers together, and all the variables
(+X^2-21)+X-180=0
We get rid of parentheses
X^2+X-21-180=0
We add all the numbers together, and all the variables
X^2+X-201=0
a = 1; b = 1; c = -201;
Δ = b2-4ac
Δ = 12-4·1·(-201)
Δ = 805
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{805}}{2*1}=\frac{-1-\sqrt{805}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{805}}{2*1}=\frac{-1+\sqrt{805}}{2} $
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