-7x^2+100x=0

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Solution for -7x^2+100x=0 equation:



-7x^2+100x=0
a = -7; b = 100; c = 0;
Δ = b2-4ac
Δ = 1002-4·(-7)·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*-7}=\frac{-200}{-14} =14+2/7 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(100)+100}{2*-7}=\frac{0}{-14} =0 $

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