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3x^2+17x+-6=0
We add all the numbers together, and all the variables
3x^2+17x=0
a = 3; b = 17; c = 0;
Δ = b2-4ac
Δ = 172-4·3·0
Δ = 289
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{289}=17$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-17}{2*3}=\frac{-34}{6} =-5+2/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+17}{2*3}=\frac{0}{6} =0 $
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