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.01x^2+.7x+6.3=0
a = .01; b = .7; c = +6.3;
Δ = b2-4ac
Δ = .72-4·.01·6.3
Δ = 0.238
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{-(.7)-\sqrt{0.238}}{2*.01}=\frac{-0.7-\sqrt{0.238}}{0.02} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(.7)+\sqrt{0.238}}{2*.01}=\frac{-0.7+\sqrt{0.238}}{0.02} $
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