Question

if one zero of 3x2 - 4x + p is reciprocal to the other, then find the value of p.

Answer 1

SOLUTION :
Given :
3x² - 4x + p

Let one zero be x
& second zero = 1/x
[ Given : one zero is reciprocal to the other]

Here, a = 3, b= - 4 c = p
product of zero = constant term/ coefficient of x² = c/a
product of zero = c/a = p/3
x × 1/x = p/3
x/x = p/3
p/3 = 1
p = 1× 3
p = 3

Hence, the value of p is 3.

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Answer 2

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