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x*x-0.95x+0.15=0
We add all the numbers together, and all the variables
-0.95x+x*x+0.15=0
Wy multiply elements
x^2-0.95x+0.15=0
a = 1; b = -0.95; c = +0.15;
Δ = b2-4ac
Δ = -0.952-4·1·0.15
Δ = 0.3025
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{-(-0.95)-\sqrt{0.3025}}{2*1}=\frac{0.95-\sqrt{0.3025}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.95)+\sqrt{0.3025}}{2*1}=\frac{0.95+\sqrt{0.3025}}{2} $
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