4n^2+7n-1=0

Simple and best practice solution for 4n^2+7n-1=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 4n^2+7n-1=0 equation: 



4n^2+7n-1=0

a = 4; b = 7; c = -1;
Δ = b2-4ac
Δ = 72-4·4·(-1)
Δ = 65
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{-(7)-\sqrt{65}}{2*4}=\frac{-7-\sqrt{65}}{8}
$


$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{65}}{2*4}=\frac{-7+\sqrt{65}}{8}
$

See similar equations:

| 7+8y15–83=2y5 | | (17-n)/5=3 | | 7x-5=3(2x-1)-4x+1 | | 5x-3-2x-4=0 | | 124°=14x+12 | | 3-4x=5(5x+6) | | -8×+5y=14 | | (14-n)/2=1 | | 32=4x+20-2x | | 2y-25=-11 | | (3x+2)(4x+10)=0 | | 9t²+2t+1=0 | | 6x-1/3=34/3x+1/3 | | 3x+3x+3x=360 | | 5k+9=10 | | 6x-1/3=111/3x+1/3 | | y=(-3^2)-6 | | x+X(.15)=2300 | | (3x+2)(4x+10)=x | | p+0.8=6.7 | | 2x-31/2=0 | | 14+8y=5(y+7) | | 14a/5+8=6a-20/5 | | (3/2)^6n-12=1 | | W^2+7w=-12 | | 6y-29=35 | | 1/3x-2=6-3/4x | | 2(x+2)=3(x-7/8) | | q=8/15 | | 1.2x+6=3.6x+8 | | q=0,2 | | 5y-6/2=-y-9 |

Equations solver categories