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(X-5)(X-12)=44^2
We move all terms to the left:
(X-5)(X-12)-(44^2)=0
We add all the numbers together, and all the variables
(X-5)(X-12)-1936=0
We multiply parentheses ..
(+X^2-12X-5X+60)-1936=0
We get rid of parentheses
X^2-12X-5X+60-1936=0
We add all the numbers together, and all the variables
X^2-17X-1876=0
a = 1; b = -17; c = -1876;
Δ = b2-4ac
Δ = -172-4·1·(-1876)
Δ = 7793
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{-(-17)-\sqrt{7793}}{2*1}=\frac{17-\sqrt{7793}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+\sqrt{7793}}{2*1}=\frac{17+\sqrt{7793}}{2} $
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