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35=0.35x^2
We move all terms to the left:
35-(0.35x^2)=0
We get rid of parentheses
-0.35x^2+35=0
a = -0.35; b = 0; c = +35;
Δ = b2-4ac
Δ = 02-4·(-0.35)·35
Δ = 49
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{49}=7$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-7}{2*-0.35}=\frac{-7}{-0.7} =+10 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+7}{2*-0.35}=\frac{7}{-0.7} =-10 $
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