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14x^2+17x(-6)=0
We multiply parentheses
14x^2-102x=0
a = 14; b = -102; c = 0;
Δ = b2-4ac
Δ = -1022-4·14·0
Δ = 10404
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{10404}=102$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-102)-102}{2*14}=\frac{0}{28} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-102)+102}{2*14}=\frac{204}{28} =7+2/7 $
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