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X(X+13)=7(7+17)
We move all terms to the left:
X(X+13)-(7(7+17))=0
We add all the numbers together, and all the variables
X(X+13)-(724)=0
We add all the numbers together, and all the variables
X(X+13)-724=0
We multiply parentheses
X^2+13X-724=0
a = 1; b = 13; c = -724;
Δ = b2-4ac
Δ = 132-4·1·(-724)
Δ = 3065
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{-(13)-\sqrt{3065}}{2*1}=\frac{-13-\sqrt{3065}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+\sqrt{3065}}{2*1}=\frac{-13+\sqrt{3065}}{2} $
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