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3x^2-x-5700=0
We add all the numbers together, and all the variables
3x^2-1x-5700=0
a = 3; b = -1; c = -5700;
Δ = b2-4ac
Δ = -12-4·3·(-5700)
Δ = 68401
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{-(-1)-\sqrt{68401}}{2*3}=\frac{1-\sqrt{68401}}{6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{68401}}{2*3}=\frac{1+\sqrt{68401}}{6} $
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