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X2+17X=+72
We move all terms to the left:
X2+17X-(+72)=0
We add all the numbers together, and all the variables
X2+17X-72=0
We add all the numbers together, and all the variables
X^2+17X-72=0
a = 1; b = 17; c = -72;
Δ = b2-4ac
Δ = 172-4·1·(-72)
Δ = 577
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{577}}{2*1}=\frac{-17-\sqrt{577}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+\sqrt{577}}{2*1}=\frac{-17+\sqrt{577}}{2} $
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