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7x^2-24=-x
We move all terms to the left:
7x^2-24-(-x)=0
We add all the numbers together, and all the variables
7x^2-(-1x)-24=0
We get rid of parentheses
7x^2+1x-24=0
We add all the numbers together, and all the variables
7x^2+x-24=0
a = 7; b = 1; c = -24;
Δ = b2-4ac
Δ = 12-4·7·(-24)
Δ = 673
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{673}}{2*7}=\frac{-1-\sqrt{673}}{14} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{673}}{2*7}=\frac{-1+\sqrt{673}}{14} $
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