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7.18x^2+2.99x=4.84
We move all terms to the left:
7.18x^2+2.99x-(4.84)=0
We add all the numbers together, and all the variables
7.18x^2+2.99x-4.84=0
a = 7.18; b = 2.99; c = -4.84;
Δ = b2-4ac
Δ = 2.992-4·7.18·(-4.84)
Δ = 147.9449
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{-(2.99)-\sqrt{147.9449}}{2*7.18}=\frac{-2.99-\sqrt{147.9449}}{14.36} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2.99)+\sqrt{147.9449}}{2*7.18}=\frac{-2.99+\sqrt{147.9449}}{14.36} $
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