if one zero of polynonials (p +9) x ² + 13x+6p resciprocal of the other, find the value of p
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Answer:
Value of p=9/5
Step-by-step explanation:
Given quadratic polynomial is (p+9)x²+13x+6p
On comparing with standard quadratic pilynomial
ax²+bx+c then
a=p+9
b=13
c=6p
Now let the one zero of it is α
Then the second zero =reciprocal of α=1/α
product of zeroes =(α)(1/α)=c/a
=>1=6p/(p+9)
=>6p=p+9
=>6p-p=9
=>5p=9
=>p=9/5
Value of p=9/5
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