If one zero of 3x2-4x+p is reciprocal to other find p
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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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