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4x^2-9=315
We move all terms to the left:
4x^2-9-(315)=0
We add all the numbers together, and all the variables
4x^2-324=0
a = 4; b = 0; c = -324;
Δ = b2-4ac
Δ = 02-4·4·(-324)
Δ = 5184
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{5184}=72$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72}{2*4}=\frac{-72}{8} =-9 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72}{2*4}=\frac{72}{8} =9 $
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