16x2=56x

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Solution for 16x2=56x equation:



16x^2=56x
We move all terms to the left:
16x^2-(56x)=0
a = 16; b = -56; c = 0;
Δ = b2-4ac
Δ = -562-4·16·0
Δ = 3136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3136}=56$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-56}{2*16}=\frac{0}{32} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+56}{2*16}=\frac{112}{32} =3+1/2 $

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