solve quadratic equations by finding square roots

Front

What is a quadratic equation?

Back

A quadratic equation is a polynomial equation of degree 2, typically in 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 finding square roots?

Back

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

Tags

CCSS.HSA-REI.B.4B

Front

What is the square root property?

Back

The square root property states that if x² = k, then x = ±√k.

Tags

CCSS.HSA-REI.B.4B

Front

Solve: (x - 2)² = 49

Back

x = {9, -5}

Tags

CCSS.8.EE.A.2

Front

Solve: x² - 49 = 0

Back

x = {7, -7}

Tags

CCSS.8.EE.A.2

Front

Solve by taking square roots: (x + 2)² = 25

Back

x = {-7, 3}

Tags

CCSS.HSA-REI.B.4B

Front

Solve: -5x² = -50

Back

x = {√10, -√10}

Tags

CCSS.8.EE.A.2

Front

What is the first step in solving (x - 2)² = 49?

Back

Take the square root of both sides to get x - 2 = ±7.

Tags

CCSS.HSA-REI.B.4B

Front

How do you isolate x in the equation (x + 2)² = 25?

Back

First, take the square root of both sides, then solve for x by subtracting 2.

Tags

CCSS.HSA-REI.B.4B

Front

What are the possible solutions for x in the equation x² = 36?

Back

x = {6, -6}

Tags

CCSS.8.EE.A.2