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.03x^2-8x+700=624
We move all terms to the left:
.03x^2-8x+700-(624)=0
We add all the numbers together, and all the variables
.03x^2-8x+76=0
a = .03; b = -8; c = +76;
Δ = b2-4ac
Δ = -82-4·.03·76
Δ = 54.88
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{-(-8)-\sqrt{54.88}}{2*.03}=\frac{8-\sqrt{54.88}}{0.06} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+\sqrt{54.88}}{2*.03}=\frac{8+\sqrt{54.88}}{0.06} $
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