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.5x(x+2.75)=3
We move all terms to the left:
.5x(x+2.75)-(3)=0
We multiply parentheses
x^2+2.75x-3=0
a = 1; b = 2.75; c = -3;
Δ = b2-4ac
Δ = 2.752-4·1·(-3)
Δ = 19.5625
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{-(2.75)-\sqrt{19.5625}}{2*1}=\frac{-2.75-\sqrt{19.5625}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2.75)+\sqrt{19.5625}}{2*1}=\frac{-2.75+\sqrt{19.5625}}{2} $
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