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x2+17.5x-9=0
We add all the numbers together, and all the variables
x^2+17.5x-9=0
a = 1; b = 17.5; c = -9;
Δ = b2-4ac
Δ = 17.52-4·1·(-9)
Δ = 342.25
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{-(17.5)-\sqrt{342.25}}{2*1}=\frac{-17.5-\sqrt{342.25}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17.5)+\sqrt{342.25}}{2*1}=\frac{-17.5+\sqrt{342.25}}{2} $
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