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7x^2-3x=1000000
We move all terms to the left:
7x^2-3x-(1000000)=0
a = 7; b = -3; c = -1000000;
Δ = b2-4ac
Δ = -32-4·7·(-1000000)
Δ = 28000009
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{-(-3)-\sqrt{28000009}}{2*7}=\frac{3-\sqrt{28000009}}{14} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{28000009}}{2*7}=\frac{3+\sqrt{28000009}}{14} $
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