Quiz Discussion

Title: Quadratic-Equations and Factors

Grade: 1300-a Lesson: S2-L1

Explanation: Let us discuss a few questions on this topic and review the answers to every question.

Quiz: Discussion in Class

Problem Id Problem Options

Steps 1

Solve the quadratic equation: \$ 3x^2 - 4x - 4 = 0 \$.

A) \$ x = 2 and x = 3/2 \$

B) \$x = -2 and x = -2/3 \$

C) \$ x = -2 and x = -3/2\$

D) \$x = 2 and x = -2/3 \$

Steps 2

Factorize the quadratic expression: \$3x^2 - 10x - 8 \$.

A) (x - 4)(3x + 2)

B) (x - 4)(3x - 2)

C) (x + 4)(3x + 2)

D) (x - 4)(3x + 3)

Steps 3

Solve the quadratic equation \$2x^2 + 5x - 3 = 0\$.

A) \$x = 1/2 \$ and x = - 3

B) \$x = 3/2 \$ and x = -4

C) \$x = 2/3 \$ and x = 3

D) x = - 0.6 and x = 4

Steps 4

Solve the quadratic equation \$2x^2 + 7x + 3 = 0\$ using factors.

A) \$x = 3 and x = - 1/2\$

B) \$x = -3 and x = - 1/2\$

C) \$x = 3 and x = 1/2\$

D) \$x = -3 and x = 1/2\$

Steps 5

Solve the quadratic equation \$2x^2 + x - 4 = 0\$ by completing the square.

A) \$x = (- 1 + \sqrt(33))/2\$ and \$x = (- 1 - \sqrt(33))/2\$

B) \$x = ( 1 + \sqrt(33))/2\$ and \$x = ( 1 - \sqrt(33))/2\$

C) \$x = ( 1 + \sqrt(33))/4\$ and \$x = ( 1 - \sqrt(33))/4\$

D) \$x = (- 1 + \sqrt(33))/4\$ and \$x = (- 1 - \sqrt(33))/4\$

Steps 104

Solve the quadratic equation: \$ 4x^2 + 4\sqrt2 x + 2 = 0 \$.

A) \$ x = - 2 / \sqrt2\$

B) \$ x = - \sqrt2 / 2\$

C) \$ x = \sqrt1 / 2\$

D) \$ x = 2 / \sqrt2\$

Steps 206

Solve the quadratic equation: \$4x^2 + 8x + 14 = 0\$.

A) \$x_1 = (- 2 + i \sqrt 5) / 2\$ and \$x_2 = (- 2 - i \sqrt 5) / 2 \$

B) \$x_1 = (- 2 - 3i \sqrt 5) / 2\$ and \$x_2 = (- 2 + 3i \sqrt 5) / 2 \$

C) \$x_1 = (2 + i \sqrt 5) / 4\$ and \$x_2 = (2 - i \sqrt 5) / 4 \$

D) \$x_1 = (- 2 + \sqrt 5) / 2\$ and \$x_2 = (- 2 - \sqrt 5) / 2 \$


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