Question

If one root of equation \(2x^2 - 10x + P = 0\) is 3, then the value of P is

• A. 6
• B. -3
• C. 9
• D. 12

Hint:

Substitute the root into the equation to solve for the unknown constant.

Answer 1

The Correct Option is B

We use the fact that if 3 is a root of the equation, then it satisfies the equation: \[ 2(3)^2 - 10(3) + P = 0 \] Simplifying: \[ 18 - 30 + P = 0 \quad \Rightarrow \quad P = 12 \] Thus, the correct answer is \(P = 12\).