x(x-97)=0

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Solution for x(x-97)=0 equation:



x(x-97)=0
We multiply parentheses
x^2-97x=0
a = 1; b = -97; c = 0;
Δ = b2-4ac
Δ = -972-4·1·0
Δ = 9409
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9409}=97$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-97)-97}{2*1}=\frac{0}{2} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-97)+97}{2*1}=\frac{194}{2} =97 $

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