solve quadratics by square roots

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 square roots?

Back

Solving a quadratic equation by square roots involves isolating the squared term and taking the square root of both sides to find the variable's values.

Front

What is the square root property?

Back

If x² = k, then x = ±√k. This property allows us to find the values of x by taking the square root of both sides.

Front

How do you isolate a squared term in a quadratic equation?

Back

To isolate a squared term, you can add or subtract constants from both sides of the equation until the squared term is alone on one side.

Front

Solve for x: -9p² = -576

Back

x = 8, -8

Front

Solve using square roots: k² - 6 = 43

Back

k = 7, -7

Front

Solve using square roots: 5b² - 4 = 41

Back

b = 3, -3

Front

Solve for h: (h - 2)² = 9

Back

h = 5, -1

Front

Solve for x: 3x² - 27 = 0

Back

x = 3, -3

Front

What is the first step in solving a quadratic equation by square roots?

Back

The first step is to move all terms except the squared term to the other side of the equation.