X^2/6x+5=0

Solution for X^2/6x+5=0 equation:

X^2/6X+5=0


Domain of the equation: 6X!=0

X!=0/6

X!=0

X∈R


We multiply all the terms by the denominator


X^2+5*6X=0

Wy multiply elements

X^2+30X=0

a = 1; b = 30; c = 0;
Δ = b2-4ac
Δ = 302-4·1·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(30)-30}{2*1}=\frac{-60}{2}
=-30
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(30)+30}{2*1}=\frac{0}{2}
=0
$