if the zeroes of the polynomial x2+px+q are double in value to the zeroes of 2x2 - 5x-3,find the value of p and q
Answers
Given : zeroes of the polynomial x²+px+q are double in value to the zeroes of 2x² - 5x-3
To Find : value of p and q
Solution:
zeroes of 2x² - 5x-3
α , β
Sum of Zeroes = α + β = - (-5/2) = 5/2
Product of Zeroes = αβ = -3/2
zeroes of the polynomial x²+px+q are double in value to the zeroes of 2x² - 5x-3
Hence 2α , 2β
Sum of Zeroes = 2α + 2β = 2 ( α + β ) = 2 (5/2) = 5 = - p/1
=> p = - 5
Product of Zeroes = 2α * 2β = 4αβ = 4 * ( -3/2) = -6 = q
=> q = -6
Value of p = - 5
and value of q = -6
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