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1029x^2-69.58x-320.763=08
We move all terms to the left:
1029x^2-69.58x-320.763-(08)=0
We add all the numbers together, and all the variables
1029x^2-69.58x-328.763=0
a = 1029; b = -69.58; c = -328.763;
Δ = b2-4ac
Δ = -69.582-4·1029·(-328.763)
Δ = 1358029.8844
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{-(-69.58)-\sqrt{1358029.8844}}{2*1029}=\frac{69.58-\sqrt{1358029.8844}}{2058} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-69.58)+\sqrt{1358029.8844}}{2*1029}=\frac{69.58+\sqrt{1358029.8844}}{2058} $
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