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30x^2-13x-7=-
We move all terms to the left:
30x^2-13x-7-(-)=0
We add all the numbers together, and all the variables
30x^2-13x-7-0=0
We add all the numbers together, and all the variables
30x^2-13x-7=0
a = 30; b = -13; c = -7;
Δ = b2-4ac
Δ = -132-4·30·(-7)
Δ = 1009
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{-(-13)-\sqrt{1009}}{2*30}=\frac{13-\sqrt{1009}}{60} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+\sqrt{1009}}{2*30}=\frac{13+\sqrt{1009}}{60} $
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