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.

Front

What is the square root property?

Back

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

Front

Solve: (x - 2)² = 49

Back

x = {9, -5}

Front

Solve: x² - 49 = 0

Back

x = {7, -7}

Front

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

Back

x = {-7, 3}

Front

Solve: -5x² = -50

Back

x = {√10, -√10}

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.

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.

Front

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

Back

x = {6, -6}