Question

Solve by completing the square calculator.

A. Completing the square solver
B. Quadratic equation completion
C. Square completion method
D. Equation transformation calculator

Answer 1

To solve a quadratic equation by completing the square, follow these steps: rewrite the equation, find the perfect square trinomial, add and subtract the perfect square trinomial, simplify the equation, and solve for x.

Step-by-step explanation:

To solve a quadratic equation by completing the square, you can follow these steps:

1. First, rewrite the equation in the form ax^2 + bx + c = 0.
2. Divide the coefficient of x by 2 and square the result to find the perfect square trinomial (b/2)^2.
3. Add and subtract the perfect square trinomial to the equation.
4. Factor the perfect square trinomial and simplify the equation.
5. Solve for x by taking the square root of both sides of the equation.

For example, if you have the quadratic equation x^2 + 6x + 9 = 0, you can complete the square by adding and subtracting (3^2) to the equation, which becomes (x + 3)(x + 3) = 0. Then, taking the square root of both sides, you get x + 3 = 0, and solving for x gives x = -3.