Question

The roots of the quadratic equation \( px^2 - qx + r = 0, \, p \neq 0 \) are:

• A. \( \frac{q \pm \sqrt{q^2 - 4pr}}{2p} \)
• B. \( \frac{q \pm \sqrt{q^2 + 4pr}}{2p} \)
• C. \( \frac{-q \pm \sqrt{q^2 - 4pr}}{2p} \)
• D. \( \frac{-q \pm \sqrt{q^2 + 4pr}}{2p} \)

Hint:

The quadratic formula: \[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \] is used to find roots of any quadratic equation.

Answer 1

The Correct Option is C

Using the quadratic formula:
\[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \] For \( px^2 - qx + r = 0 \): \[ x = \frac{-(-q) \pm \sqrt{(-q)^2 - 4(p)(r)}}{2p} \] \[ x = \frac{q \pm \sqrt{q^2 - 4pr}}{2p} \]