10x2+100x+210=0

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Solution for 10x2+100x+210=0 equation:



10x^2+100x+210=0
a = 10; b = 100; c = +210;
Δ = b2-4ac
Δ = 1002-4·10·210
Δ = 1600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1600}=40$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(100)-40}{2*10}=\frac{-140}{20} =-7 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(100)+40}{2*10}=\frac{-60}{20} =-3 $

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