-16x^2+28x=0

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Solution for -16x^2+28x=0 equation:



-16x^2+28x=0
a = -16; b = 28; c = 0;
Δ = b2-4ac
Δ = 282-4·(-16)·0
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28)-28}{2*-16}=\frac{-56}{-32} =1+3/4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28)+28}{2*-16}=\frac{0}{-32} =0 $

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