5x^2-13x-17=0

Simple and best practice solution for 5x^2-13x-17=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 5x^2-13x-17=0 equation:


Simplifying
5x2 + -13x + -17 = 0

Reorder the terms:
-17 + -13x + 5x2 = 0

Solving
-17 + -13x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
-3.4 + -2.6x + x2 = 0

Move the constant term to the right:

Add '3.4' to each side of the equation.
-3.4 + -2.6x + 3.4 + x2 = 0 + 3.4

Reorder the terms:
-3.4 + 3.4 + -2.6x + x2 = 0 + 3.4

Combine like terms: -3.4 + 3.4 = 0.0
0.0 + -2.6x + x2 = 0 + 3.4
-2.6x + x2 = 0 + 3.4

Combine like terms: 0 + 3.4 = 3.4
-2.6x + x2 = 3.4

The x term is -2.6x.  Take half its coefficient (-1.3).
Square it (1.69) and add it to both sides.

Add '1.69' to each side of the equation.
-2.6x + 1.69 + x2 = 3.4 + 1.69

Reorder the terms:
1.69 + -2.6x + x2 = 3.4 + 1.69

Combine like terms: 3.4 + 1.69 = 5.09
1.69 + -2.6x + x2 = 5.09

Factor a perfect square on the left side:
(x + -1.3)(x + -1.3) = 5.09

Calculate the square root of the right side: 2.256102835

Break this problem into two subproblems by setting 
(x + -1.3) equal to 2.256102835 and -2.256102835.

Subproblem 1

x + -1.3 = 2.256102835 Simplifying x + -1.3 = 2.256102835 Reorder the terms: -1.3 + x = 2.256102835 Solving -1.3 + x = 2.256102835 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.3' to each side of the equation. -1.3 + 1.3 + x = 2.256102835 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + x = 2.256102835 + 1.3 x = 2.256102835 + 1.3 Combine like terms: 2.256102835 + 1.3 = 3.556102835 x = 3.556102835 Simplifying x = 3.556102835

Subproblem 2

x + -1.3 = -2.256102835 Simplifying x + -1.3 = -2.256102835 Reorder the terms: -1.3 + x = -2.256102835 Solving -1.3 + x = -2.256102835 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.3' to each side of the equation. -1.3 + 1.3 + x = -2.256102835 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + x = -2.256102835 + 1.3 x = -2.256102835 + 1.3 Combine like terms: -2.256102835 + 1.3 = -0.956102835 x = -0.956102835 Simplifying x = -0.956102835

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.556102835, -0.956102835}

See similar equations:

| 14a+9a= | | ln(x+2)-ln(x-4)=ln(3) | | 2t+10-3= | | 11x^4-37x^26=0 | | 5=p+8 | | 6s+13s+13s= | | 12*2.2= | | 2v^2+3+7v=0 | | x+(x+4)+(x-30)=150 | | 2ln(6x)=13 | | s-30=-13 | | 3p+3=5+2p | | 2*3*2-2*3*1+1*2= | | 7+4(s-3t)= | | 5x^2-4x-10=0 | | (x+4)+(x-30)=150 | | -9x+7y=-2 | | x-17=21 | | 4x(5x^2+1)= | | X^4-x^3+15x^2-5x-42=0 | | -156=4(1+8n) | | 7(7b-4)=-420 | | -56=8n+8 | | -7=k-5 | | 4y=-7 | | 4-x=-6 | | -21=p-7 | | -6a+4+7a=5-28 | | y=-x^2-4x+10 | | -.75x=27 | | 0.6w-0.3+0.2w=5 | | 6x(7x^2+6)= |

Equations solver categories