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x2-6.5x+7.5=0
We add all the numbers together, and all the variables
x^2-6.5x+7.5=0
a = 1; b = -6.5; c = +7.5;
Δ = b2-4ac
Δ = -6.52-4·1·7.5
Δ = 12.25
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{-(-6.5)-\sqrt{12.25}}{2*1}=\frac{6.5-\sqrt{12.25}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6.5)+\sqrt{12.25}}{2*1}=\frac{6.5+\sqrt{12.25}}{2} $
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