Mathematics
If one root of equation (p - 3)x2 + x + p = 0 is 2, the value of p is :
-2
2
±2
1 and 2
Quadratic Equations
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Answer
Given,
One root of equation (p - 3)x2 + x + p = 0 is 2.
∴ x = 2 satisfies the equation.
∴ (p - 3)(2)2 + 2 + p = 0
⇒ 4(p - 3) + 2 + p = 0
⇒ 4p - 12 + 2 + p = 0
⇒ 5p - 10 = 0
⇒ 5p = 10
⇒ p = = 2.
Hence, Option 2 is the correct option.
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