4x^2-13x+8=0

Simple and best practice solution for 4x^2-13x+8=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 4x^2-13x+8=0 equation:


Simplifying
4x2 + -13x + 8 = 0

Reorder the terms:
8 + -13x + 4x2 = 0

Solving
8 + -13x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
2 + -3.25x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -3.25x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -3.25x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3.25x + x2 = 0 + -2
-3.25x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-3.25x + x2 = -2

The x term is -3.25x.  Take half its coefficient (-1.625).
Square it (2.640625) and add it to both sides.

Add '2.640625' to each side of the equation.
-3.25x + 2.640625 + x2 = -2 + 2.640625

Reorder the terms:
2.640625 + -3.25x + x2 = -2 + 2.640625

Combine like terms: -2 + 2.640625 = 0.640625
2.640625 + -3.25x + x2 = 0.640625

Factor a perfect square on the left side:
(x + -1.625)(x + -1.625) = 0.640625

Calculate the square root of the right side: 0.80039053

Break this problem into two subproblems by setting 
(x + -1.625) equal to 0.80039053 and -0.80039053.

Subproblem 1

x + -1.625 = 0.80039053 Simplifying x + -1.625 = 0.80039053 Reorder the terms: -1.625 + x = 0.80039053 Solving -1.625 + x = 0.80039053 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.625' to each side of the equation. -1.625 + 1.625 + x = 0.80039053 + 1.625 Combine like terms: -1.625 + 1.625 = 0.000 0.000 + x = 0.80039053 + 1.625 x = 0.80039053 + 1.625 Combine like terms: 0.80039053 + 1.625 = 2.42539053 x = 2.42539053 Simplifying x = 2.42539053

Subproblem 2

x + -1.625 = -0.80039053 Simplifying x + -1.625 = -0.80039053 Reorder the terms: -1.625 + x = -0.80039053 Solving -1.625 + x = -0.80039053 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.625' to each side of the equation. -1.625 + 1.625 + x = -0.80039053 + 1.625 Combine like terms: -1.625 + 1.625 = 0.000 0.000 + x = -0.80039053 + 1.625 x = -0.80039053 + 1.625 Combine like terms: -0.80039053 + 1.625 = 0.82460947 x = 0.82460947 Simplifying x = 0.82460947

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.42539053, 0.82460947}

See similar equations:

| 4.8=1.5(y-17) | | 1a+1b=0 | | -8+16-6= | | 7(y-2)=43 | | f(x)=3e*x | | v^2-v+13=0 | | 4x=64-36 | | 6d-18-16d-40=30 | | 105-x=-46 | | x^2-4y+(2y-x)i=2-i | | 2x+4(2x+7)=-42 | | 9a+9b=1 | | -6-(5-2p)= | | 10-4x=3x+4 | | -(2c+5)=-2c+9 | | ln(6x+40)=ln(3x+10) | | 2(3x+4)-5(2x-3)-2=7(2x-4)+2(8-5x)+3x | | 5(x-3)=26 | | 8n-2=18 | | 2x+7=11+x | | 4y-8+y+36=5y+30-2y | | 3x^3-17x^2+38x-24=0 | | 8x^2-336-8x=0 | | y=-3+5x(-3)+6 | | X^3=.67 | | -5(9a+6)=17 | | 2(5x-1)+3x=78 | | 8n-4=3n+21 | | 12f=-132 | | -7y-10=9y+22 | | 3ax-2b=12 | | 7x+1=5x-9 |

Equations solver categories