Questions: Question 9 of 25 Which of the following is an example of a quadratic equation? A. y=4x+6 B. y=1/(x^2+6) C. x+10=33 D. x^2-64=0

Solution Steps

To determine which of the given equations is a quadratic equation, we need to identify the equation that can be written in the standard form \( ax^2 + bx + c = 0 \), where \( a \neq 0 \).

We need to determine which of the given equations is a quadratic equation. A quadratic equation can be written in the standard form \( ax^2 + bx + c = 0 \), where \( a \neq 0 \).

• \( y = 4x + 6 \): This is a linear equation because it can be written in the form \( y = mx + b \).
• \( y = \frac{1}{x^2 + 6} \): This is not a quadratic equation because it involves a reciprocal and cannot be written in the standard quadratic form.
• \( x + 10 = 33 \): This is a linear equation because it can be simplified to \( x = 23 \).
• \( x^2 - 64 = 0 \): This is a quadratic equation because it can be written in the form \( x^2 - 64 = 0 \), which matches the standard form \( ax^2 + bx + c = 0 \) with \( a = 1 \), \( b = 0 \), and \( c = -64 \).

Final Answer