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x2+11x=24
We move all terms to the left:
x2+11x-(24)=0
We add all the numbers together, and all the variables
x^2+11x-24=0
a = 1; b = 11; c = -24;
Δ = b2-4ac
Δ = 112-4·1·(-24)
Δ = 217
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{-(11)-\sqrt{217}}{2*1}=\frac{-11-\sqrt{217}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{217}}{2*1}=\frac{-11+\sqrt{217}}{2} $
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