If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying k2 + 13k = 36 Reorder the terms: 13k + k2 = 36 Solving 13k + k2 = 36 Solving for variable 'k'. Reorder the terms: -36 + 13k + k2 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + 13k + k2 = 0 Begin completing the square. Move the constant term to the right: Add '36' to each side of the equation. -36 + 13k + 36 + k2 = 0 + 36 Reorder the terms: -36 + 36 + 13k + k2 = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 13k + k2 = 0 + 36 13k + k2 = 0 + 36 Combine like terms: 0 + 36 = 36 13k + k2 = 36 The k term is 13k. Take half its coefficient (6.5). Square it (42.25) and add it to both sides. Add '42.25' to each side of the equation. 13k + 42.25 + k2 = 36 + 42.25 Reorder the terms: 42.25 + 13k + k2 = 36 + 42.25 Combine like terms: 36 + 42.25 = 78.25 42.25 + 13k + k2 = 78.25 Factor a perfect square on the left side: (k + 6.5)(k + 6.5) = 78.25 Calculate the square root of the right side: 8.845903006 Break this problem into two subproblems by setting (k + 6.5) equal to 8.845903006 and -8.845903006.Subproblem 1
k + 6.5 = 8.845903006 Simplifying k + 6.5 = 8.845903006 Reorder the terms: 6.5 + k = 8.845903006 Solving 6.5 + k = 8.845903006 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + k = 8.845903006 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + k = 8.845903006 + -6.5 k = 8.845903006 + -6.5 Combine like terms: 8.845903006 + -6.5 = 2.345903006 k = 2.345903006 Simplifying k = 2.345903006Subproblem 2
k + 6.5 = -8.845903006 Simplifying k + 6.5 = -8.845903006 Reorder the terms: 6.5 + k = -8.845903006 Solving 6.5 + k = -8.845903006 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + k = -8.845903006 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + k = -8.845903006 + -6.5 k = -8.845903006 + -6.5 Combine like terms: -8.845903006 + -6.5 = -15.345903006 k = -15.345903006 Simplifying k = -15.345903006Solution
The solution to the problem is based on the solutions from the subproblems. k = {2.345903006, -15.345903006}
| 3x(-16)= | | .20x+.15(30)=23.5 | | 5-(2x+3)=2(x+1) | | x^2+23x+76=4x^2+8x+4 | | 3x-6=1x+8 | | 5/9*x-1/3=3 | | 8x-31+5y+35=180 | | 8.6x+82.04=11.4x+81.9 | | y=4sin(5x) | | (x+.5)+(x+30)+x=180 | | 12xsquare+11x-15= | | 80.38-24.592= | | -x+3=-13 | | 12x+11x-15= | | 0=x^2+y^2-18 | | 8x(x+7)=3x+21 | | W=7h+3s | | 4x-15y=6 | | 5y+18y-(-2y)+(10y)= | | F(x)=42x^2+90x+8 | | 16x(x+5)=8x-81 | | 4x+32=14x-38 | | 0-1/3-(-1) | | q^2+8q-48=0 | | 8p-3p=3p+13p | | n+5=2n+10 | | 5(t-2)+6(t+1)-(t+2)+3=17 | | 4-2/-4-(-4) | | 4-2/-4-(-4)= | | 4.9ta=12.3 | | 50=-10Z | | 4x^2-x+44=0 |