SOLVE QUADRATIC EQUATIONS

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

What does it mean to solve a quadratic equation by factoring?

Back

Solving a quadratic equation by factoring involves expressing the equation in the form (x - p)(x - q) = 0, where p and q are the solutions.

Front

What are the steps to solve a quadratic equation by factoring?

Back

1. Write the equation in standard form. 2. Factor the quadratic expression. 3. Set each factor equal to zero. 4. Solve for the variable.

Front

Solve by factoring: x² - 9x + 20 = 0

Back

x = 4 and x = 5

Front

Solve by factoring: x² + 3x - 18 = 0

Back

x = 3 and x = -6

Front

Solve: (n + 7)(n + 9) = 0

Back

n = -7 and n = -9

Front

What is the zero product property?

Back

The zero product property states that if the product of two factors is zero, then at least one of the factors must be zero.

Front

Solve: 2d² = 8

Back

d = -2 and d = 2

Front

What is the square root method for solving quadratic equations?

Back

The square root method involves isolating the variable squared and then taking the square root of both sides to find the variable's value.

Front

Solve by taking square roots: 5b² - 4 = 41

Back

b = 3 and b = -3