Question:
If one root of equation \(2x^2 - 10x + P = 0\) is 3, then the value of P is
If one root of equation \(2x^2 - 10x + P = 0\) is 3, then the value of P is
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Substitute the root into the equation to solve for the unknown constant.
Updated On: Jan 15, 2026
- 6
- -3
- 9
- 12
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The Correct Option is B
Solution and Explanation
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 \(P = 12\).
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