Select the quadratic equation that is equivalent to: the product of eight and a number squared, minus the product of three and the same number is twenty-six. (1 point)

Question

Responses

3x2−8x=26
3 x squared minus 8 x is equal to 26

8x2+3x=26
8 x squared plus 3 x is equal to 26

8x2−3x+26
8 x squared minus 3 x plus 26

8x2−3x=26

Answer 1

To translate the given statement into a quadratic equation, we first need to identify the components:

1. "The product of eight and a number squared" translates to \( 8x^2 \) where \( x \) is the number.
2. "The product of three and the same number" translates to \( 3x \).
3. The equation is set up as: \( 8x^2 - 3x = 26 \)

Now, we can see that the equation \( 8x^2 - 3x = 26 \) matches one of the provided responses.

Given this analysis, the correct response is:

8x²−3x=26