Non-linear equations (one variable)

How many solutions can a quadratic equation have? Select all that apply

• 1

• 0

• 3

• 2

Solve for the zeros of the function  $2x^2-6x-81=x^2-6x$  

•  $\left(0,-9\right)$  

•  $\left(-9,0\right)\left(9,0\right)$  

•  $\left(-9,0\right)$  

•  $\left(0,-9\right)\left(0,9\right)$  

When solving a quadratic equation graphically we look at the:

• Origin

• x-intercept

• y-intercept

Use the graph to determine the solutions.

• -1 and -3
• 1 and -3
• 1 and 3
• -1 and 3

• A
  Roots are -1 and -3
• B
  Roots are 0 and 3
• C
  Roots are 1 and 4
• D
  Roots are -1 and 3

What type of solution(s) best represent the graph?

• 1 rational solution

• 2 rational solutions

• 2 irrational solutions

• 2 complex solutions

Which quadratic functions have two solutions? Select all that apply.

• $f\left(x\right)=x^2-5$

• $f\left(x\right)\ =\ x^2+2$

• $f\left(x\right)=3x^2-1$

• $f\left(x\right)\ =\ \left(x-3\right)^2$

• $f\left(x\right)\ =\ \left(x+2\right)^2-4$

Use the graph to determine the solutions.

• x= -2 and x= -3

• x= 2 and x= 3

• x= -2 and x= 3

• x= 2 and x= -3

What are the solutions?

• 0 and 8
• -2 and -4
• 3 and -1
• 2 and 4

The graph of quadratic function g is shown below. Based on the graph, between which two values of x is a zero located?

• -9 and -8

• 1 and 2

• -7 and -5

• 4 and 5