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768x^2-247x+9=0
a = 768; b = -247; c = +9;
Δ = b2-4ac
Δ = -2472-4·768·9
Δ = 33361
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{-(-247)-\sqrt{33361}}{2*768}=\frac{247-\sqrt{33361}}{1536} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-247)+\sqrt{33361}}{2*768}=\frac{247+\sqrt{33361}}{1536} $
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