If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying Y2 + -6Y + -11 = 0 Reorder the terms: -11 + -6Y + Y2 = 0 Solving -11 + -6Y + Y2 = 0 Solving for variable 'Y'. Begin completing the square. Move the constant term to the right: Add '11' to each side of the equation. -11 + -6Y + 11 + Y2 = 0 + 11 Reorder the terms: -11 + 11 + -6Y + Y2 = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -6Y + Y2 = 0 + 11 -6Y + Y2 = 0 + 11 Combine like terms: 0 + 11 = 11 -6Y + Y2 = 11 The Y term is -6Y. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6Y + 9 + Y2 = 11 + 9 Reorder the terms: 9 + -6Y + Y2 = 11 + 9 Combine like terms: 11 + 9 = 20 9 + -6Y + Y2 = 20 Factor a perfect square on the left side: (Y + -3)(Y + -3) = 20 Calculate the square root of the right side: 4.472135955 Break this problem into two subproblems by setting (Y + -3) equal to 4.472135955 and -4.472135955.Subproblem 1
Y + -3 = 4.472135955 Simplifying Y + -3 = 4.472135955 Reorder the terms: -3 + Y = 4.472135955 Solving -3 + Y = 4.472135955 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + Y = 4.472135955 + 3 Combine like terms: -3 + 3 = 0 0 + Y = 4.472135955 + 3 Y = 4.472135955 + 3 Combine like terms: 4.472135955 + 3 = 7.472135955 Y = 7.472135955 Simplifying Y = 7.472135955Subproblem 2
Y + -3 = -4.472135955 Simplifying Y + -3 = -4.472135955 Reorder the terms: -3 + Y = -4.472135955 Solving -3 + Y = -4.472135955 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + Y = -4.472135955 + 3 Combine like terms: -3 + 3 = 0 0 + Y = -4.472135955 + 3 Y = -4.472135955 + 3 Combine like terms: -4.472135955 + 3 = -1.472135955 Y = -1.472135955 Simplifying Y = -1.472135955Solution
The solution to the problem is based on the solutions from the subproblems. Y = {7.472135955, -1.472135955}
| -23.4=2.6d | | Y=2x^2+5x+9 | | x^2+16=137 | | n+12=28 | | x^2+16=127 | | 8+8y=100 | | 5a-(b-2a)= | | 5x+5=x+37 | | 7(x^2)-12(7)+35=0 | | 20+3y=63 | | 3(5-2x)=-2(6-3)-10x | | (2x^2+xy-y)*(y^2+3x)= | | 35-2x=16x+15 | | 5(2x+1)=-7(4x+2) | | -33-(-22)-44= | | 0.7-0.2=8.3x+7.2 | | 5x+1=2x+13 | | 7x-44=5x | | f(1)=1/3-4/3(1) | | (p+q)*(4p^2-p-8q^2-q)= | | 8x+6=2x+60 | | 27+(-30)= | | 2n+2=129 | | 6(4x-1)=2(12x-16) | | 50+.1x=.9x | | 7+9x-1=6x+30-3x | | 20a+10b-3c=a-20b+2c | | 16+6x=-8+12x | | c(c+8)= | | -4+8=52 | | 20a+10b-3b=a-20b+2c | | m+6=17 |