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0=-3x^2+52x
We move all terms to the left:
0-(-3x^2+52x)=0
We add all the numbers together, and all the variables
-(-3x^2+52x)=0
We get rid of parentheses
3x^2-52x=0
a = 3; b = -52; c = 0;
Δ = b2-4ac
Δ = -522-4·3·0
Δ = 2704
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{2704}=52$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-52)-52}{2*3}=\frac{0}{6} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-52)+52}{2*3}=\frac{104}{6} =17+1/3 $
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