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x^2+x=29.9
We move all terms to the left:
x^2+x-(29.9)=0
We add all the numbers together, and all the variables
x^2+x-29.9=0
a = 1; b = 1; c = -29.9;
Δ = b2-4ac
Δ = 12-4·1·(-29.9)
Δ = 120.6
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{-(1)-\sqrt{120.6}}{2*1}=\frac{-1-\sqrt{120.6}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{120.6}}{2*1}=\frac{-1+\sqrt{120.6}}{2} $
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