If the zeroes of the polynomial x2 +px+q are double in value to the zeroes of 2x^2-5x-3 find the value p and q
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let the zeros of the first polynomial be a,b
=> sum of zeros is, a+b=-p
=>product of zeros,ab=q
if the zeros of the firsf polynomial are a,b
=>the zeros of the second polynomial are 2a,2b
sum of zeros of the second polynomial
2a+2b=5/2
a+b=5/4
using value of a+b =-p
we get -p=5/4
p=-5/4
q=qAND
product is roots of the second equation
2a×2b=4ab=-3/2
=>ab=-3/8
=>q=-3/8
Hence the values of p and q are -5/4,-3/8 respectively
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=> sum of zeros is, a+b=-p
=>product of zeros,ab=q
if the zeros of the firsf polynomial are a,b
=>the zeros of the second polynomial are 2a,2b
sum of zeros of the second polynomial
2a+2b=5/2
a+b=5/4
using value of a+b =-p
we get -p=5/4
p=-5/4
q=qAND
product is roots of the second equation
2a×2b=4ab=-3/2
=>ab=-3/8
=>q=-3/8
Hence the values of p and q are -5/4,-3/8 respectively
AND IF YOU LIKE THE ANSWER DON'T FORGET TO HIT THE BRILLIANT BUTTON.
THANK YOU
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