x^2-25x+4=0

Simple and best practice solution for x^2-25x+4=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 x^2-25x+4=0 equation:


Simplifying
x2 + -25x + 4 = 0

Reorder the terms:
4 + -25x + x2 = 0

Solving
4 + -25x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -25x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -25x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -25x + x2 = 0 + -4
-25x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-25x + x2 = -4

The x term is -25x.  Take half its coefficient (-12.5).
Square it (156.25) and add it to both sides.

Add '156.25' to each side of the equation.
-25x + 156.25 + x2 = -4 + 156.25

Reorder the terms:
156.25 + -25x + x2 = -4 + 156.25

Combine like terms: -4 + 156.25 = 152.25
156.25 + -25x + x2 = 152.25

Factor a perfect square on the left side:
(x + -12.5)(x + -12.5) = 152.25

Calculate the square root of the right side: 12.338962679

Break this problem into two subproblems by setting 
(x + -12.5) equal to 12.338962679 and -12.338962679.

Subproblem 1

x + -12.5 = 12.338962679 Simplifying x + -12.5 = 12.338962679 Reorder the terms: -12.5 + x = 12.338962679 Solving -12.5 + x = 12.338962679 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.5' to each side of the equation. -12.5 + 12.5 + x = 12.338962679 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + x = 12.338962679 + 12.5 x = 12.338962679 + 12.5 Combine like terms: 12.338962679 + 12.5 = 24.838962679 x = 24.838962679 Simplifying x = 24.838962679

Subproblem 2

x + -12.5 = -12.338962679 Simplifying x + -12.5 = -12.338962679 Reorder the terms: -12.5 + x = -12.338962679 Solving -12.5 + x = -12.338962679 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.5' to each side of the equation. -12.5 + 12.5 + x = -12.338962679 + 12.5 Combine like terms: -12.5 + 12.5 = 0.0 0.0 + x = -12.338962679 + 12.5 x = -12.338962679 + 12.5 Combine like terms: -12.338962679 + 12.5 = 0.161037321 x = 0.161037321 Simplifying x = 0.161037321

Solution

The solution to the problem is based on the solutions from the subproblems. x = {24.838962679, 0.161037321}

See similar equations:

| 4w+3=-5 | | 4(3y+3)=3(2y-4) | | -29=3y-8 | | 8x+8578548=75648965789 | | 4log(x^2-2x)=3/2 | | 8+x=8573 | | 5x^3+5x^2-16x=0 | | (x^2)+(2y^2)+2x-4y+3=0 | | (5x^2-2x+4)(2x^2+3+1)= | | 72-x=51 | | -5(u-6)=4u+48 | | 60=5y+10 | | -3+3w=-21 | | -3w-33=7(w-9) | | x^2-2=x+4 | | -2(w+7)=-5w-41 | | x*1.0275=200 | | 2u+2=-8 | | (2x-5)/4=8 | | 2z^2+4z-10=0 | | 2x+7/4-x+1/3=3/4 | | x*.0275=200 | | 4x+276=14x-14 | | 2+x(-9)=1 | | x*20*340=9 | | (3/2)-(7/4)X=(-7/8) | | -4x+4=4(2x-3)-(3x+7) | | sqrt(b^2-4ac)=0 | | -9(-x+6)=52 | | -64=-16v | | 5-3a+5a=8+6+9a | | 11x+5=4(2x-3)-(3x+7) |

Equations solver categories