Question

Select the quadratic equation that is equivalent to: The product of 4 and a number squared, minus the product of 8 and that same number is 7(1 point)
Responses

−4x2+8x=7
negative 4 x squared plus 8 x is equal to 7

−4x2−8x+7
negative 4 x squared minus 8 x plus 7

4x2−8x+7
4 x squared minus 8 x plus 7

4x2−8x=7

Answer 1

Let's break down the statement: "The product of 4 and a number squared, minus the product of 8 and that same number is 7."

1. **The product of 4 and a number squared** is represented as \( 4x^2 \).
2. **The product of 8 and that same number** is represented as \( 8x \).
3. So, we can write the equation as:
\[
4x^2 - 8x = 7
\]

To convert this into a standard quadratic equation form (set equal to zero), we subtract 7 from both sides:
\[
4x^2 - 8x - 7 = 0
\]

However, looking at your options directly, the first part matches directly with the option:
\[
4x^2 - 8x = 7
\]

This is the correct choice, as it directly represents the original statement with only rearranging required to set it equal to zero for standard quadratic form.

So, the equivalent quadratic equation is:
**4x² - 8x = 7**