Algebra 2 Solve Quadratic by Square Roots

SOLVE FOR X: (x + 3)² = 25

• x = -8, 2

• x = 1, 4

• x = -10, 3

• x = 0, 5

WHAT IS EXTRACTING SQUARE ROOTS?

• Extracting square roots is the process of adding two numbers together.

• Extracting square roots involves dividing a number by itself.

• Extracting square roots is the method of finding the cube root of a number.

• Extracting square roots is finding a number that, when multiplied by itself, equals the given number.

X² + 4X + 4 IS A PERFECT SQUARE TRINOMIAL?

• Yes

• Sometimes

• Maybe

• No

Suppose the quadratic equation 3x² - 7x + 8 = 0 was solved by completing the square. What constant would be added to both sides of the equation to create a perfect square?

• 7/6

• 49/9

• 49/36

• 49/4

Suppose g(x) = -3x² - 5x + 2 = 0. On which interval(s) is g > 0?

• (-∞, -2) u (0.333,∞)

• (0.333, ∞)

• [-2.0, 0.333]

• (-2,0.333)

Solve the equation (3x - 2)² +9 = 0

• 2/3 ± i

• 2/3 ± 3i

• 2 ± 3i

• 2/3 ± 3i/2

A quadratic function f(x) = 2x² + bx + 2, is such that there is only one real root. Which of the following are possible values of b?

I. b = 4 II. b = 2 III. b = -4

• I only

• III only

• I and III

• I, II, and III

• II only

For a particular quadratic equation in the form ax² + bx + c, the value of b² - 4ac = 20. Which of the following statements is correct about the roots of the function?

• There will be two imaginary roots.

• There will be two rational roots.

• There will be two irrational roots.

• There will be one rational root.

• No conclusion can be made about the roots without specifically knowing the values of a, b and c.

Which of the following statements correctly describes the roots of the quadratic equation (3x - 1)(4x + 1) = 0?

• There will be two imaginary roots.

• There will be two rational roots.

• There will be two irrational roots.

• There will be one rational root.

Solve x^2 = 4x by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.

• –4, 0

• between –4 and 4

• 2, –4

• 0, 4