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

Answer 1

Let's define the variable as \( x \). The given statement can be translated into a mathematical equation as follows:

• "The product of 4 and a number squared" translates to \( 4x^2 \).
• "The product of 8 and the same number" translates to \( 8x \).
• "is 7" means we will set the expression equal to 7.

Putting it all together, the equation becomes:

\[ 4x^2 - 8x = 7 \]

Now, we can rearrange it to have all terms on one side of the equation:

\[ 4x^2 - 8x - 7 = 0 \]

Therefore, the equivalent quadratic equation is:

\[ 4x^2 - 8x - 7 = 0 \]