how to solve a quadratic equation in one variable ? plsss

about nine weeks is spent on this in Alg I.

methods: factoring, quadratic equation, graphing.

Google quadratic equations

To solve a quadratic equation in one variable, you can use the quadratic formula or factorization method. Here's how:

1. Quadratic Formula:
The quadratic formula is given by:
x = (-b ± √(b^2 - 4ac)) / (2a)

- Identify the coefficients a, b, and c in the quadratic equation in the form of ax^2 + bx + c = 0.

- Substitute the values of a, b, and c into the quadratic formula.

- Simplify the expression inside the square root (√) to determine the discriminant (D). If D < 0, the equation has no real solutions.

- Evaluate the square root and perform the calculations for both the positive (plus) and negative (minus) signs of ± to find the possible values of x.

- If needed, round the solutions to an appropriate number of decimal places or leave them in exact form.

2. Factorization Method:
If the quadratic equation can be factored into two binomials, the equation can be solved using the following steps:

- Rewrite the quadratic equation in the form of ax^2 + bx + c = 0.

- Factorize the quadratic expression into two binomials, if possible.

- Set each binomial equal to zero and solve for x to find the values of x that satisfy the equation.

- If necessary, round the solutions to an appropriate number of decimal places or leave them in factored form.

Remember, quadratic equations generally provide two possible solutions, but there are cases where there might be only one or no solution at all.