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X2-11.25X-0.973=0
We add all the numbers together, and all the variables
X^2-11.25X-0.973=0
a = 1; b = -11.25; c = -0.973;
Δ = b2-4ac
Δ = -11.252-4·1·(-0.973)
Δ = 130.4545
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{-(-11.25)-\sqrt{130.4545}}{2*1}=\frac{11.25-\sqrt{130.4545}}{2} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11.25)+\sqrt{130.4545}}{2*1}=\frac{11.25+\sqrt{130.4545}}{2} $
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