7n^2+1n-10=0

Solution for 7n^2+1n-10=0 equation:

7n^2+1n-10=0

We add all the numbers together, and all the variables

7n^2+n-10=0

a = 7; b = 1; c = -10;
Δ = b2-4ac
Δ = 12-4·7·(-10)
Δ = 281
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{281}}{2*7}=\frac{-1-\sqrt{281}}{14}
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{281}}{2*7}=\frac{-1+\sqrt{281}}{14}
$