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9x^2-103x+248=0
a = 9; b = -103; c = +248;
Δ = b2-4ac
Δ = -1032-4·9·248
Δ = 1681
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{1681}=41$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-103)-41}{2*9}=\frac{62}{18} =3+4/9 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-103)+41}{2*9}=\frac{144}{18} =8 $
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