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x^2-1.15x+.225=0
We add all the numbers together, and all the variables
x^2-1.15x+0.225=0
a = 1; b = -1.15; c = +0.225;
Δ = b2-4ac
Δ = -1.152-4·1·0.225
Δ = 0.4225
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{-(-1.15)-\sqrt{0.4225}}{2*1}=\frac{1.15-\sqrt{0.4225}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1.15)+\sqrt{0.4225}}{2*1}=\frac{1.15+\sqrt{0.4225}}{2} $
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