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12x^2+9=981
We move all terms to the left:
12x^2+9-(981)=0
We add all the numbers together, and all the variables
12x^2-972=0
a = 12; b = 0; c = -972;
Δ = b2-4ac
Δ = 02-4·12·(-972)
Δ = 46656
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{46656}=216$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-216}{2*12}=\frac{-216}{24} =-9 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+216}{2*12}=\frac{216}{24} =9 $
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