600+2x^2-70x=0

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Solution for 600+2x^2-70x=0 equation:



600+2x^2-70x=0
a = 2; b = -70; c = +600;
Δ = b2-4ac
Δ = -702-4·2·600
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-10}{2*2}=\frac{60}{4} =15 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+10}{2*2}=\frac{80}{4} =20 $

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