11n^2-n-7=0

Simple and best practice solution for 11n^2-n-7=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 11n^2-n-7=0 equation:


Simplifying
11n2 + -1n + -7 = 0

Reorder the terms:
-7 + -1n + 11n2 = 0

Solving
-7 + -1n + 11n2 = 0

Solving for variable 'n'.

Begin completing the square.  Divide all terms by
11 the coefficient of the squared term: 

Divide each side by '11'.
-0.6363636364 + -0.09090909091n + n2 = 0

Move the constant term to the right:

Add '0.6363636364' to each side of the equation.
-0.6363636364 + -0.09090909091n + 0.6363636364 + n2 = 0 + 0.6363636364

Reorder the terms:
-0.6363636364 + 0.6363636364 + -0.09090909091n + n2 = 0 + 0.6363636364

Combine like terms: -0.6363636364 + 0.6363636364 = 0.0000000000
0.0000000000 + -0.09090909091n + n2 = 0 + 0.6363636364
-0.09090909091n + n2 = 0 + 0.6363636364

Combine like terms: 0 + 0.6363636364 = 0.6363636364
-0.09090909091n + n2 = 0.6363636364

The n term is -0.09090909091n.  Take half its coefficient (-0.04545454546).
Square it (0.002066115703) and add it to both sides.

Add '0.002066115703' to each side of the equation.
-0.09090909091n + 0.002066115703 + n2 = 0.6363636364 + 0.002066115703

Reorder the terms:
0.002066115703 + -0.09090909091n + n2 = 0.6363636364 + 0.002066115703

Combine like terms: 0.6363636364 + 0.002066115703 = 0.638429752103
0.002066115703 + -0.09090909091n + n2 = 0.638429752103

Factor a perfect square on the left side:
(n + -0.04545454546)(n + -0.04545454546) = 0.638429752103

Calculate the square root of the right side: 0.799017992

Break this problem into two subproblems by setting 
(n + -0.04545454546) equal to 0.799017992 and -0.799017992.

Subproblem 1

n + -0.04545454546 = 0.799017992 Simplifying n + -0.04545454546 = 0.799017992 Reorder the terms: -0.04545454546 + n = 0.799017992 Solving -0.04545454546 + n = 0.799017992 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.04545454546' to each side of the equation. -0.04545454546 + 0.04545454546 + n = 0.799017992 + 0.04545454546 Combine like terms: -0.04545454546 + 0.04545454546 = 0.00000000000 0.00000000000 + n = 0.799017992 + 0.04545454546 n = 0.799017992 + 0.04545454546 Combine like terms: 0.799017992 + 0.04545454546 = 0.84447253746 n = 0.84447253746 Simplifying n = 0.84447253746

Subproblem 2

n + -0.04545454546 = -0.799017992 Simplifying n + -0.04545454546 = -0.799017992 Reorder the terms: -0.04545454546 + n = -0.799017992 Solving -0.04545454546 + n = -0.799017992 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.04545454546' to each side of the equation. -0.04545454546 + 0.04545454546 + n = -0.799017992 + 0.04545454546 Combine like terms: -0.04545454546 + 0.04545454546 = 0.00000000000 0.00000000000 + n = -0.799017992 + 0.04545454546 n = -0.799017992 + 0.04545454546 Combine like terms: -0.799017992 + 0.04545454546 = -0.75356344654 n = -0.75356344654 Simplifying n = -0.75356344654

Solution

The solution to the problem is based on the solutions from the subproblems. n = {0.84447253746, -0.75356344654}

See similar equations:

| 16=28-2log(x+4) | | 9x^2+36x+4=0 | | 8x=-10+36 | | -1/3x=-4/7 | | 4y-8y=32 | | 2x-4=12-2x | | 2(m/3-5)^3=128 | | x+2=4x+10 | | 60-9x=16x | | 9(k+1)-(8k+2)=1 | | 9/n=4/7/30 | | 9/n=4/7/45 | | 3m^2-9m-54=0 | | (1/7x)+(1/12x)=(1/4) | | -52.8=-8.8c | | 6/n=6/7/45 | | 8m^2+5=0 | | 4x-7=-3x+9 | | 2v-48=-8(v-4) | | 5(A+2)-4=-4+10A+7 | | 2(2y-1)=3(y+2) | | -7/10+2/10 | | (1/3*3/4)/(7/8) | | 2x^2-5x-11=1 | | (1/3*3/4)/7/8 | | (3/7)/(7/3)*5/6 | | 30x/2 | | n^2+14n+40=0 | | (3/7/7/3)*5/6 | | (8x+3)(x+4)=0 | | (4v+3)(4-v)=0 | | (z+2)(z+4)=0 |

Equations solver categories