2.25x^2-210x=0

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Solution for 2.25x^2-210x=0 equation:



2.25x^2-210x=0
a = 2.25; b = -210; c = 0;
Δ = b2-4ac
Δ = -2102-4·2.25·0
Δ = 44100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{44100}=210$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-210)-210}{2*2.25}=\frac{0}{4.5} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-210)+210}{2*2.25}=\frac{420}{4.5} =93+1/3 $

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