n^2-7n-4=0

Simple and best practice solution for n^2-7n-4=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 n^2-7n-4=0 equation: 



n^2-7n-4=0

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


$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{65}}{2*1}=\frac{7+\sqrt{65}}{2}
$

See similar equations:

| 7=4f−13 | | 2.49x=10 | | 1/2(z+2)=4/5(z−2/3) | | 3(2x-6)+6(x-3)=-3(4-5x)+5x-10 | | 4.3t+-2.1t-2.3=7.6 | | 3b−-7=19 | | x(3x-3)+x(2x-6)=(5x+4)(x+3) | | 5x-(2x-4)=25 | | 4u-7=5.2u | | 6(u+6)=4u+34 | | J=6πp | | 3(1+2x)=5(x-1) | | 4(1-4a)=4+a | | -6-4(n-1)=-5n+3 | | 3(2-x)-6x=3 | | 5b-25=-8+4(1+3b) | | -k-(-9k)-11+2k-4-k=0 | | (24y^2)-3y=6 | | -4(-5a-1)-2a=37+7a | | 6n-14=2(6n-7)+8n | | -4+2/3b=1/2b-5 | | X/32=6y/4*8y/12 | | -4+2/3y=1/2y-5 | | 6.325+x=2.8 | | -5(6-2x)=-37+3x | | 40x+0.05x=0.15x | | (3m+2)+(5m-58)=180 | | 8x+4/8=9+7x/5+2 | | 17(3x+9)-10(5x-7)=0 | | 8-10x=142 | | 15^4x=7^x+6 | | -7(3-6k)=6k+15 |

Equations solver categories