5x^2-28x+23=0

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Solution for 5x^2-28x+23=0 equation:



5x^2-28x+23=0
a = 5; b = -28; c = +23;
Δ = b2-4ac
Δ = -282-4·5·23
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-28)-18}{2*5}=\frac{10}{10} =1 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28)+18}{2*5}=\frac{46}{10} =4+3/5 $

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