X2+-28x+192=0

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Solution for X2+-28x+192=0 equation:



X2+-28X+192=0
We add all the numbers together, and all the variables
X^2-28X=0
a = 1; b = -28; c = 0;
Δ = b2-4ac
Δ = -282-4·1·0
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*1}=\frac{0}{2} =0 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28)+28}{2*1}=\frac{56}{2} =28 $

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