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2x^2+24=x2-11x
We move all terms to the left:
2x^2+24-(x2-11x)=0
We add all the numbers together, and all the variables
2x^2-(+x^2-11x)+24=0
We get rid of parentheses
2x^2-x^2+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 = 25
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{25}=5$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-5}{2*1}=\frac{-16}{2} =-8 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+5}{2*1}=\frac{-6}{2} =-3 $
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