If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying q2 + -9q + 11 = 0 Reorder the terms: 11 + -9q + q2 = 0 Solving 11 + -9q + q2 = 0 Solving for variable 'q'. Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + -9q + -11 + q2 = 0 + -11 Reorder the terms: 11 + -11 + -9q + q2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -9q + q2 = 0 + -11 -9q + q2 = 0 + -11 Combine like terms: 0 + -11 = -11 -9q + q2 = -11 The q term is -9q. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9q + 20.25 + q2 = -11 + 20.25 Reorder the terms: 20.25 + -9q + q2 = -11 + 20.25 Combine like terms: -11 + 20.25 = 9.25 20.25 + -9q + q2 = 9.25 Factor a perfect square on the left side: (q + -4.5)(q + -4.5) = 9.25 Calculate the square root of the right side: 3.041381265 Break this problem into two subproblems by setting (q + -4.5) equal to 3.041381265 and -3.041381265.Subproblem 1
q + -4.5 = 3.041381265 Simplifying q + -4.5 = 3.041381265 Reorder the terms: -4.5 + q = 3.041381265 Solving -4.5 + q = 3.041381265 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + q = 3.041381265 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + q = 3.041381265 + 4.5 q = 3.041381265 + 4.5 Combine like terms: 3.041381265 + 4.5 = 7.541381265 q = 7.541381265 Simplifying q = 7.541381265Subproblem 2
q + -4.5 = -3.041381265 Simplifying q + -4.5 = -3.041381265 Reorder the terms: -4.5 + q = -3.041381265 Solving -4.5 + q = -3.041381265 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4.5' to each side of the equation. -4.5 + 4.5 + q = -3.041381265 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + q = -3.041381265 + 4.5 q = -3.041381265 + 4.5 Combine like terms: -3.041381265 + 4.5 = 1.458618735 q = 1.458618735 Simplifying q = 1.458618735Solution
The solution to the problem is based on the solutions from the subproblems. q = {7.541381265, 1.458618735}
| x+2x-16=0 | | p^2+8p+10=0 | | 24a/20a= | | 2b^2-5b-6=0 | | -3(1-x)=(0.5)(2x+1) | | -2a*-7*b= | | y=cos(2x)+sin(2x) | | 6x=2(7x+3) | | 15-(4z)=z-(8) | | 9z-31=9z+24 | | 15-4z=z-8 | | -5x=x+12 | | -6f+13=n-1 | | 3-10b=3b-9 | | 6x^4+29x^3+23x^2-30x=0 | | y=integral(exp(x^2)) | | 6ab*c*11= | | y=exp(-x^2)*integral((exp(x^2))*((2x^3)-(2x))) | | x=3y^4+8y^3+6y^2-1 | | -28-2=8-8x | | 15a*2b= | | y=exp(-x^2)*integral((exp(x^2))*((2*x^3)-(2*x))) | | 53-7=11x+21 | | 111-2x=4x+21 | | 9x^2-0.6x+0.01= | | (x+1)(x-7)=3x-7 | | 1-4(k+3)=k-(k+3) | | 6x-15=9x+6 | | x^2+4xy+4y^2= | | 5-4c=c+20 | | 11x-12=120 | | k/4+6=-2 |