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8x^2=7200
We move all terms to the left:
8x^2-(7200)=0
a = 8; b = 0; c = -7200;
Δ = b2-4ac
Δ = 02-4·8·(-7200)
Δ = 230400
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{230400}=480$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-480}{2*8}=\frac{-480}{16} =-30 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+480}{2*8}=\frac{480}{16} =30 $
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