Solving Equations Involving Roots

• x = 12
• x = 24
• x = 144
• x = 121

x² = 36

• 6

• 18

• 6, -6

• -6

Square root is the inverse of ____________.

• Cube Roots

• Squaring

• Multiplication

• Absolute Value

Ate Marwin and Ate Daisy are both working on the school canteen. Together they can finish cleaning the canteen in 4 hours. It takes ate Marwin working alone in 6 hours longer than it takes Ate Daisy working alone. Determine the quadratic equation formed on the given problem.

• x² + 6x + 12 = 0

• x² + 2x + 24 = 0

• x² - 6x + 12 = 0

• x² – 2x – 24 = 0

What are the roots of quadratic equation?

• Coefficients of the equation

• Solutions to the equation

• The highest exponent of the variable

• The graphical representation of the equation

What is another word for where a parabola passes the x-axis?

• y-intercepts

• roots

• vertex

• axis of symmetry

What can the roots to a quadratic equation be called?

• zeros

• solutions

• x-intercepts

• none of the choices

What is another word for zeros?

• y-intercepts

• roots

• vertex

• axis of symmetry

What can the roots to a quadratic equation be called? (select all that apply)

• zeros

• solutions

• x-intercepts

• y-intercepts

The sum of the square of two consecutive positive integers is 85. Write a quadratic equation.

• x² + x - 1 = 85

• x² + x + 1 = 85

• x² + x - 42 = 0

• x² + x + 42 = 0