If p and q are the roots of the quadratic equation x2 + x + 1 = 0. Then how many of the following statements are true?
i) p2 = q ii) p = q2 iii) pq = 1 iv) p3 = q3
(a) 1
(b) 2
(c) 3
(d) 4
Answers
Answered by
1
Answer:
c
product of roots is equal to c and here c is equal to 1 so third option
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ANSWER
Given equation
x
2
+px+q
Also, given p,q are the roots of the equation.
p+q=−p
2p=−q .....(1)
And pq=q
q(p−1)=0
⇒q=0 or p=1
So, by (1), q=0⇒p=0
Hence, the values of p are 0,1.
Please mark me as brainlist please
Given equation
x
2
+px+q
Also, given p,q are the roots of the equation.
p+q=−p
2p=−q .....(1)
And pq=q
q(p−1)=0
⇒q=0 or p=1
So, by (1), q=0⇒p=0
Hence, the values of p are 0,1.
Please mark me as brainlist please
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