The root of equation 2x2-5x+p=0 are in the ratio of 2:3 find p
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Answer:
p = 3
Step-by-step explanation:
if one root = 2n then other root = 3n
From the equation,
sum of the roots = 5/2
=> 2n+3n = 5/2
=> 5n = 5/2
=> n = 1/2
product of the roots = p/2
=> 2n × 3n = p/2
=> p = 12 × n × n = 12 × 1/2 × 1/2 = 3
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