Solving Quadratic Equations Steps

This video tutorial by Miss Math explains how to solve quadratic equations using the square root method. It covers the conditions under which this method is applicable, such as when the B term is zero in a quadratic trinomial. The tutorial provides multiple examples, including solving x^2 = 16, x^2 + 8 = 28, 9x^2 = 81, and (x-7)^2 = 36. Each example is broken down step-by-step, highlighting the importance of isolating x^2 and considering both positive and negative roots. The video also touches on simplifying radicals and offers a practice problem for viewers.

What is the main topic discussed in this video tutorial?

• Solving linear equations

• Solving quadratics by the square root method

• Factoring quadratic equations

• Graphing quadratic functions

Which form does a quadratic equation take?

• ax^2 + bx + c = 0

• ax^2 + bx = 0

• ax + b = 0

• ax^3 + bx^2 + cx + d = 0

When can the square root method be used to solve a quadratic equation?

• When B is not zero

• When C equals zero

• When A is zero

• When B equals zero

What is the first step in solving x^2 = 16 using the square root method?

• Add 16 to both sides

• Take the square root of both sides

• Subtract 16 from both sides

• Multiply both sides by 2

What are the possible solutions for x^2 = 16?

• x = 0

• x = 4 or x = -4

• x = -4

• x = 4

In the equation x^2 + 8 = 28, what is the first step to isolate x^2?

• Add 8 to both sides

• Subtract 8 from both sides

• Divide both sides by 8

• Multiply both sides by 8

After isolating x^2 in x^2 + 8 = 28, what is the next step?

• Add 20 to both sides

• Subtract 20 from both sides

• Take the square root of both sides

• Multiply both sides by 2

What is the simplified radical form of the square root of 20?

• 5√2

• 4√5

• 2√5

• 10

In the equation 9x^2 = 81, what operation is needed to isolate x^2?

• Subtract 9 from both sides

• Add 9 to both sides

• Divide both sides by 9

• Multiply both sides by 9

What is the square root of 9?

• 1

• 27

• 3

• 9