v^2+5v-4=0

Simple and best practice solution for v^2+5v-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 v^2+5v-4=0 equation:


Simplifying
v2 + 5v + -4 = 0

Reorder the terms:
-4 + 5v + v2 = 0

Solving
-4 + 5v + v2 = 0

Solving for variable 'v'.

Begin completing the square.

Move the constant term to the right:

Add '4' to each side of the equation.
-4 + 5v + 4 + v2 = 0 + 4

Reorder the terms:
-4 + 4 + 5v + v2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 5v + v2 = 0 + 4
5v + v2 = 0 + 4

Combine like terms: 0 + 4 = 4
5v + v2 = 4

The v term is 5v.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5v + 6.25 + v2 = 4 + 6.25

Reorder the terms:
6.25 + 5v + v2 = 4 + 6.25

Combine like terms: 4 + 6.25 = 10.25
6.25 + 5v + v2 = 10.25

Factor a perfect square on the left side:
(v + 2.5)(v + 2.5) = 10.25

Calculate the square root of the right side: 3.201562119

Break this problem into two subproblems by setting 
(v + 2.5) equal to 3.201562119 and -3.201562119.

Subproblem 1

v + 2.5 = 3.201562119 Simplifying v + 2.5 = 3.201562119 Reorder the terms: 2.5 + v = 3.201562119 Solving 2.5 + v = 3.201562119 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + v = 3.201562119 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + v = 3.201562119 + -2.5 v = 3.201562119 + -2.5 Combine like terms: 3.201562119 + -2.5 = 0.701562119 v = 0.701562119 Simplifying v = 0.701562119

Subproblem 2

v + 2.5 = -3.201562119 Simplifying v + 2.5 = -3.201562119 Reorder the terms: 2.5 + v = -3.201562119 Solving 2.5 + v = -3.201562119 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + v = -3.201562119 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + v = -3.201562119 + -2.5 v = -3.201562119 + -2.5 Combine like terms: -3.201562119 + -2.5 = -5.701562119 v = -5.701562119 Simplifying v = -5.701562119

Solution

The solution to the problem is based on the solutions from the subproblems. v = {0.701562119, -5.701562119}

See similar equations:

| -32s/4-3s=22 | | 1/5=4p | | 2sen^3x+sen^2-2senx-1=0 | | 2a^2-46c+252=0 | | 2sen^2x+senx-6=0 | | 3(d-1)ford=4 | | B/17=(-8) | | -2y+9x=17 | | N-13=(-4) | | (6/(36-30))x35 | | -4x+1-2x+x+2= | | 0=t^2-t+43 | | 15z^2+4z-3=0 | | 0.8=[0.4][0.4] | | 1.2x+2.3=-0.4x+1.75 | | (sin(-8x))/(8x) | | 0.8=[0.43][8.5] | | 3x-5x+2x-8= | | 16(v+3)-4v=3(4v+2)-14 | | 2/3a-8=69 | | 6y+2=3y+14 | | 3p-2(5-3p)=5(p-2)-36 | | =99999999999999999999999999999999999999999999999999999999999999999999999 | | 100000000000000000000000000000000000000000000000000000000000000000000000000000000=100000000000000000000000000000000000000000000000000 | | -0.10(61)+0.70x=0.05(X-18) | | 56=3u+8 | | 5y=3478 | | v-9.16=7.5 | | 0=-0.16x^2+4x+10 | | 0=x^3+5x^2+6x | | tanx+tan^2x=0 | | 6y-12=4y+22 |

Equations solver categories