Multiple choice

Is the following equation a quadratic equation? $\displaystyle \frac{3x}{4} - \frac{5x^2}{8} = \frac{7}{8}$

  1. Yes

  2. No

  3. Ambiguous

  4. Data insufficient

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The equation is 3x/4 - 5x^2/8 = 7/8. Multiplying by 8 gives 6x - 5x^2 = 7, or 5x^2 - 6x + 7 = 0. This is a quadratic equation because it is in the form ax^2 + bx + c = 0 with a != 0.

AI explanation

Multiply the entire equation by 8 to clear the fractions, resulting in 6x - 5x^2 = 7. Rearranging all terms to one side gives the equation 5x^2 - 6x + 7 = 0. Because this equation is a polynomial in standard form where the highest power of the variable is 2, it is a quadratic equation. Therefore, the answer is Yes.