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x^2/0.035-x=0
We add all the numbers together, and all the variables
x^2/0.035-1x=0
We multiply all the terms by the denominator
x^2-1x*0.035=0
Wy multiply elements
x^2-0.035x=0
a = 1; b = -0.035; c = 0;
Δ = b2-4ac
Δ = -0.0352-4·1·0
Δ = 0.001225
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-0.035)-\sqrt{0.001225}}{2*1}=\frac{0.035-\sqrt{0.001225}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-0.035)+\sqrt{0.001225}}{2*1}=\frac{0.035+\sqrt{0.001225}}{2} $
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