x2=100x

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Solution for x2=100x equation:



x2=100x
We move all terms to the left:
x2-(100x)=0
We add all the numbers together, and all the variables
x^2-100x=0
a = 1; b = -100; c = 0;
Δ = b2-4ac
Δ = -1002-4·1·0
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-100}{2*1}=\frac{0}{2} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+100}{2*1}=\frac{200}{2} =100 $

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