7n^2-15n+2=0

Solution for 7n^2-15n+2=0 equation:

7n^2-15n+2=0

a = 7; b = -15; c = +2;
Δ = b2-4ac
Δ = -152-4·7·2
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-13}{2*7}=\frac{2}{14}
=1/7
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+13}{2*7}=\frac{28}{14}
=2
$