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3x+4x^2=70
We move all terms to the left:
3x+4x^2-(70)=0
a = 4; b = 3; c = -70;
Δ = b2-4ac
Δ = 32-4·4·(-70)
Δ = 1129
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{-(3)-\sqrt{1129}}{2*4}=\frac{-3-\sqrt{1129}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{1129}}{2*4}=\frac{-3+\sqrt{1129}}{8} $
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