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24x^2-864=0
a = 24; b = 0; c = -864;
Δ = b2-4ac
Δ = 02-4·24·(-864)
Δ = 82944
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{82944}=288$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-288}{2*24}=\frac{-288}{48} =-6 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+288}{2*24}=\frac{288}{48} =6 $
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