Solving Quadratic Equations with Binomials and Square Roots

Mr. Davis teaches Algebra students how to solve quadratic equations using square roots. The lesson covers isolating squared binomials, taking square roots, and finding solutions. It includes examples with real and non-real solutions, emphasizing the importance of simplification. The video concludes with a review of key concepts and solutions.

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

• Subtract a constant from both sides

• Add a constant to both sides

• Isolate the binomial square

• Take the square root of both sides

What operation is used to undo squaring in a quadratic equation?

• Square root

• Addition

• Multiplication

• Division

If you have x - 4 squared equals 25, what are the possible values of x?

• x = 5 or x = -5

• x = 4 or x = -4

• x = 1 or x = -9

• x = 9 or x = -1

What should you do if you encounter a negative number under the square root?

• Continue solving algebraically

• State that there is no real solution

• Add a constant to both sides

• Subtract a constant from both sides

In the equation y + 3 squared equals -4, what is the solution?

• y = 1 or y = -7

• y = 2 or y = -8

• y = 3 or y = -9

• No real solution

What is the inverse operation of multiplication when isolating a binomial square?

• Division

• Addition

• Subtraction

• Square root

If you have r - 8 squared equals 9, what are the possible values of r?

• r = 5 or r = 11

• r = 6 or r = 10

• r = 7 or r = 9

• r = 8 or r = 12

What is the square root of 100?

• 10 and -10

• 5 and -5

• 12 and -12

• 8 and -8

How should you handle a binomial square with a coefficient in front?

• Add the coefficient to both sides

• Subtract the coefficient from both sides

• Divide by the coefficient

• Multiply by the coefficient

What is the final step in solving a quadratic equation using square roots?

• Isolate the binomial square

• Take the square root of both sides

• Solve for the variable

• Simplify the square root