Solving Quadratic Equations with Square Roots

In this video, Betsy guides viewers through solving quadratic equations using square roots. She provides step-by-step instructions for three different equations, emphasizing the importance of isolating the squared term and using square roots to find solutions. Betsy also highlights the need for practice and suggests watching previous videos for a better understanding. The video concludes with encouragement to continue practicing and building on the concepts learned.

What is the first step in solving quadratic equations using square roots?

• Isolate the squared term

• Take the square root immediately

• Divide by the coefficient of x

• Add constants to both sides

Tags

CCSS.HSA-REI.B.4B

What value does 4 squared equal to?

• 16

• 8

• 4

• 2

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CCSS.6.EE.A.1

After isolating the squared term, what is the next step?

• Subtract the constant term

• Divide by the coefficient of x

• Take the square root of both sides

• Multiply by the coefficient of x

Tags

CCSS.HSA-REI.B.4B

What are the possible values of x when the equation is 2x - 7 squared = 16?

• 11 and 3

• 11 and -3

• 11/2 and -3

• 11/2 and 3

Tags

CCSS.HSA-REI.B.4B

How do you handle the coefficient of x after isolating the squared term?

• Subtract it from both sides

• Add it to both sides

• Divide both sides by it

• Multiply both sides by it

Tags

CCSS.HSA-REI.B.4B

What is the correct way to handle a constant added to a squared term?

• Multiply it by the squared term

• Divide it by the squared term

• Add it to the other side

• Subtract it from both sides

Tags

CCSS.HSA-REI.B.4B

What does x equal when 3x + 2 is squared and equals 9?

• 3/2 and -3/2

• 3 and -3

• 2 and -2

• 1/2 and -1/2

Tags

CCSS.HSA-REI.B.4B

What should you do if the squared term is multiplied by a coefficient?

• Divide both sides by the coefficient

• Multiply both sides by the coefficient

• Subtract the coefficient from both sides

• Add the coefficient to both sides

Tags

CCSS.HSA-REI.B.4B

What is the result of taking the square root of 9?

• 9

• 3

• 18

• 6

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CCSS.8.EE.A.2

Why is it important to review previous videos in this series?

• To meet prerequisites

• To understand the context better

• To learn different topics

• To correct mistakes

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CCSS.RI.11-12.8

CCSS.RI.8.7

CCSS.RI.9-10.7

CCSS.RL.11-12.8

CCSS.RL.9-10.7