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8.25x^2-12.25x-1.44=0
a = 8.25; b = -12.25; c = -1.44;
Δ = b2-4ac
Δ = -12.252-4·8.25·(-1.44)
Δ = 197.5825
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{-(-12.25)-\sqrt{197.5825}}{2*8.25}=\frac{12.25-\sqrt{197.5825}}{16.5} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12.25)+\sqrt{197.5825}}{2*8.25}=\frac{12.25+\sqrt{197.5825}}{16.5} $
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