If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 11k2 + -9k + -15 = 0 Reorder the terms: -15 + -9k + 11k2 = 0 Solving -15 + -9k + 11k2 = 0 Solving for variable 'k'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. -1.363636364 + -0.8181818182k + k2 = 0 Move the constant term to the right: Add '1.363636364' to each side of the equation. -1.363636364 + -0.8181818182k + 1.363636364 + k2 = 0 + 1.363636364 Reorder the terms: -1.363636364 + 1.363636364 + -0.8181818182k + k2 = 0 + 1.363636364 Combine like terms: -1.363636364 + 1.363636364 = 0.000000000 0.000000000 + -0.8181818182k + k2 = 0 + 1.363636364 -0.8181818182k + k2 = 0 + 1.363636364 Combine like terms: 0 + 1.363636364 = 1.363636364 -0.8181818182k + k2 = 1.363636364 The k term is -0.8181818182k. Take half its coefficient (-0.4090909091). Square it (0.1673553719) and add it to both sides. Add '0.1673553719' to each side of the equation. -0.8181818182k + 0.1673553719 + k2 = 1.363636364 + 0.1673553719 Reorder the terms: 0.1673553719 + -0.8181818182k + k2 = 1.363636364 + 0.1673553719 Combine like terms: 1.363636364 + 0.1673553719 = 1.5309917359 0.1673553719 + -0.8181818182k + k2 = 1.5309917359 Factor a perfect square on the left side: (k + -0.4090909091)(k + -0.4090909091) = 1.5309917359 Calculate the square root of the right side: 1.237332508 Break this problem into two subproblems by setting (k + -0.4090909091) equal to 1.237332508 and -1.237332508.Subproblem 1
k + -0.4090909091 = 1.237332508 Simplifying k + -0.4090909091 = 1.237332508 Reorder the terms: -0.4090909091 + k = 1.237332508 Solving -0.4090909091 + k = 1.237332508 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.4090909091' to each side of the equation. -0.4090909091 + 0.4090909091 + k = 1.237332508 + 0.4090909091 Combine like terms: -0.4090909091 + 0.4090909091 = 0.0000000000 0.0000000000 + k = 1.237332508 + 0.4090909091 k = 1.237332508 + 0.4090909091 Combine like terms: 1.237332508 + 0.4090909091 = 1.6464234171 k = 1.6464234171 Simplifying k = 1.6464234171Subproblem 2
k + -0.4090909091 = -1.237332508 Simplifying k + -0.4090909091 = -1.237332508 Reorder the terms: -0.4090909091 + k = -1.237332508 Solving -0.4090909091 + k = -1.237332508 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.4090909091' to each side of the equation. -0.4090909091 + 0.4090909091 + k = -1.237332508 + 0.4090909091 Combine like terms: -0.4090909091 + 0.4090909091 = 0.0000000000 0.0000000000 + k = -1.237332508 + 0.4090909091 k = -1.237332508 + 0.4090909091 Combine like terms: -1.237332508 + 0.4090909091 = -0.8282415989 k = -0.8282415989 Simplifying k = -0.8282415989Solution
The solution to the problem is based on the solutions from the subproblems. k = {1.6464234171, -0.8282415989}
| (4+9i)2= | | 5y^2+2y-20=0 | | 2x+9=2x+51 | | 3y^2-y-21=0 | | y^2+8y-10=0 | | -126-60x=6x^2 | | 4x^4-9x^3-3x^2=0 | | 9x-23=103 | | f(0)=0.8x^6-0.5x^5+x^4-4x^3-3*x^2+6*x | | 9x-1=-19 | | (4ln(2))/(5x^(4/5)) | | 6a-5=3a-11 | | 3(4+x)=27 | | 4x+2y=201 | | x/2+5=8 | | 36x^2-65x-1=0 | | 3(2x-3)-9x-4=2+12 | | x^2+1x-127=0 | | 6x+2(x+7)7=46 | | 16(x-11)=12x+36 | | 3ef+53f-ef= | | x^3=4.05 | | 250=24x(0.5) | | 5/8x=20 | | 3x+10=6x+15 | | F(x)=30 | | F(2)=30 | | x^3-10=100 | | 7=29+2r | | 14=6q-16 | | 10-3n=4 | | 15=c+-12 |