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.5x^2-1.25x=3
We move all terms to the left:
.5x^2-1.25x-(3)=0
a = .5; b = -1.25; c = -3;
Δ = b2-4ac
Δ = -1.252-4·.5·(-3)
Δ = 7.5625
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{-(-1.25)-\sqrt{7.5625}}{2*.5}=\frac{1.25-\sqrt{7.5625}}{1} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.25)+\sqrt{7.5625}}{2*.5}=\frac{1.25+\sqrt{7.5625}}{1} $
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