5x2-29x+36=0

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Solution for 5x2-29x+36=0 equation:



5x^2-29x+36=0
a = 5; b = -29; c = +36;
Δ = b2-4ac
Δ = -292-4·5·36
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-29)-11}{2*5}=\frac{18}{10} =1+4/5 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-29)+11}{2*5}=\frac{40}{10} =4 $

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