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.

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B

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.

Tags

CCSS.HSA-REI.B.4B

Front

Solve for x: -9p² = -576

Back

x = 8, -8

Tags

CCSS.8.EE.A.2

Front

Solve using square roots: k² - 6 = 43

Back

k = 7, -7

Tags

CCSS.8.EE.A.2

Front

Solve using square roots: 5b² - 4 = 41

Back

b = 3, -3

Tags

CCSS.8.EE.A.2

Front

Solve for h: (h - 2)² = 9

Back

h = 5, -1

Tags

CCSS.8.EE.A.2

Front

Solve for x: 3x² - 27 = 0

Back

x = 3, -3

Tags

CCSS.8.EE.A.2

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.

Tags

CCSS.HSA-REI.B.4B