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30=4.8x^2
We move all terms to the left:
30-(4.8x^2)=0
We get rid of parentheses
-4.8x^2+30=0
a = -4.8; b = 0; c = +30;
Δ = b2-4ac
Δ = 02-4·(-4.8)·30
Δ = 576
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{576}=24$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24}{2*-4.8}=\frac{-24}{-9.6} =2+2.6666666666667/5.3333333333333 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24}{2*-4.8}=\frac{24}{-9.6} =-2+2.6666666666667/5.3333333333333 $
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