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X2-15X+56=9
We move all terms to the left:
X2-15X+56-(9)=0
We add all the numbers together, and all the variables
X^2-15X+47=0
a = 1; b = -15; c = +47;
Δ = b2-4ac
Δ = -152-4·1·47
Δ = 37
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{-(-15)-\sqrt{37}}{2*1}=\frac{15-\sqrt{37}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+\sqrt{37}}{2*1}=\frac{15+\sqrt{37}}{2} $
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