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X2+5X+6X=0
We add all the numbers together, and all the variables
X^2+11X=0
a = 1; b = 11; c = 0;
Δ = b2-4ac
Δ = 112-4·1·0
Δ = 121
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{121}=11$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-11}{2*1}=\frac{-22}{2} =-11 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+11}{2*1}=\frac{0}{2} =0 $
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