5a2-a-6=0

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Solution for 5a2-a-6=0 equation:



5a^2-a-6=0
We add all the numbers together, and all the variables
5a^2-1a-6=0
a = 5; b = -1; c = -6;
Δ = b2-4ac
Δ = -12-4·5·(-6)
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-11}{2*5}=\frac{-10}{10} =-1 $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+11}{2*5}=\frac{12}{10} =1+1/5 $

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