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4x^2-328=72
We move all terms to the left:
4x^2-328-(72)=0
We add all the numbers together, and all the variables
4x^2-400=0
a = 4; b = 0; c = -400;
Δ = b2-4ac
Δ = 02-4·4·(-400)
Δ = 6400
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{6400}=80$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-80}{2*4}=\frac{-80}{8} =-10 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+80}{2*4}=\frac{80}{8} =10 $
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