Mastering Quadratics and Rational Equations

Solve the quadratic equation: x^2 - 5x + 6 = 0.

• x = -2, x = -3

• x = 1, x = 4

• x = 2, x = 3

• x = 0, x = 5

What are the roots of the equation: 2x^2 + 3x - 5 = 0?

• -3, 4

• 0, 5

• 2, -1

• 1, -2

Simplify the rational expression: (x^2 - 4)/(x - 2).

• x^2 - 4

• 2x

• x + 2

• x - 2

Solve the rational equation: (3/x) + 2 = 5.

• 1

• 3

• 2

• 0

Identify the roots of the equation: x^2 + 4x + 4 = 0.

• x = -4

• x = 2

• x = 0

• x = -2

Simplify the expression: (x^2 - 9)/(x + 3).

• x^2 - 3

• x - 9

• x + 3

• x - 3

Solve for x: (x - 1)/(x + 2) = 3/4.

• 12

• 5

• 10

• 8

What are the roots of the quadratic equation: x^2 - 7x + 10 = 0?

• The roots are 1 and 10.

• The roots are -2 and -5.

• The roots are 3 and 4.

• The roots are 2 and 5.

Simplify the rational expression: (2x^2 + 8x)/(2x).

• x + 4

• 2x + 4

• x^2 + 4

• x - 4

Solve the equation: 5/(x - 1) = 2.

• 2.5

• 1.5

• 4

• 3.5