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

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

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

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

8x2−3x+26

Answer 1

To translate the statement "the product of eight and a number squared, minus the product of three and the same number is twenty-six" into a quadratic equation, we can break it down into parts.

1. "the product of eight and a number squared" translates to \(8x^2\).
2. "minus the product of three and the same number" translates to \(-3x\).
3. "is twenty-six" translates to \(= 26\).

Putting it all together, we get: \[ 8x^2 - 3x = 26 \]

Now, this needs to be rearranged into standard form \(Ax^2 + Bx + C = 0\) which means subtracting 26 from both sides: \[ 8x^2 - 3x - 26 = 0 \]

However, as per the question, we need to select from the given options. The correct quadratic equation that matches the statement is:

8x² - 3x = 26