Math Problem Statement

now solve it in completing the square

Solution

To solve an equation by completing the square, let's go through the general process step by step. If you provide me with the equation, I'll walk through the solution.

Here's a general overview of the process of completing the square for a quadratic equation:

Given:

ax2+bx+c=0ax^2 + bx + c = 0

  1. Divide by 'a' (if a1a \neq 1):
    Make the coefficient of x2x^2 equal to 1 by dividing the entire equation by aa. x2+bax+ca=0x^2 + \frac{b}{a}x + \frac{c}{a} = 0

  2. Move the constant term to the other side: x2+bax=cax^2 + \frac{b}{a}x = -\frac{c}{a}

  3. Complete the square:
    Take half the coefficient of xx, square it, and add it to both sides. [

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Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Equations
Completing the Square

Formulas

ax^2 + bx + c = 0
x^2 + (b/a)x + (c/a) = 0

Theorems

Quadratic Formula

Suitable Grade Level

Grades 9-10