Solve a quadratic by applying the square root method

Solve a quadratic by applying the square root method

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains how to solve the equation y = X^2 - 16 using two methods: factoring by the difference of squares and the square root method. Initially, it demonstrates factoring by setting the equation to zero and rewriting it as (X - 4)(X + 4) = 0, leading to solutions X = 4 and X = -4. The tutorial then introduces the square root method, which involves isolating X^2, adding 16 to both sides, and taking the square root to find X = ±4. Both methods yield the same solutions, highlighting the versatility of the square root method for equations in the form of AX^2 + C.

Read more

5 questions

Show all answers

1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the equation that the teacher is trying to solve?

Evaluate responses using AI:

OFF

2.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the square root method differ from factoring in solving equations?

Evaluate responses using AI:

OFF

3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the square root method as described in the text.

Evaluate responses using AI:

OFF

4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of taking both the positive and negative square roots?

Evaluate responses using AI:

OFF

5.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the solutions found using the square root method?

Evaluate responses using AI:

OFF