If one root of the quadratic equation 3x2 – 10x + p = 0 is \(\frac13\), then the value of p and the other root respectively is :
(a) 3, \(\frac13\)
(b) 3, 3
(c) \(-\frac13\), \(-\frac13\)
(d) –3, –3
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Please briefly explain why you feel this question should be reported.
Please briefly explain why you feel this answer should be reported.
Please briefly explain why you feel this user should be reported.
If one root of the quadratic equation 3x2 – 10x + p = 0 is \(\frac13\), then the value of p and the other root respectively is :
(a) 3, \(\frac13\)
(b) 3, 3
(c) \(-\frac13\), \(-\frac13\)
(d) –3, –3
If one root of the quadratic equation 3x2 – 10x + p = 0 is \(\frac13\), then the value of p and the other root respectively is :
(a) 3, \(\frac13\)
(b) 3, 3
(c) \(-\frac13\), \(-\frac13\)
(d) –3, –3
(b) 3, 3
\(\frac13\) is a root of the equation 3x2 – 10x + p = 0
⇒ 3 \(\big(\frac13\big)^2\) – 10 x \(\frac13\) + p = 0
⇒ \(\frac13\) – \(\frac{10}{3}\) + p = 0 ⇒ \(-\frac93\) + p = 0 ⇒ p = 3
∴ The equation becomes 3x2 – 10x + 3 = 0
⇒ 3x2 – 9x – x + 3 = 0
⇒ 3x (x – 3) – 1 (x – 3) = 0 ⇒ (3x – 1)(x – 3) = 0
⇒ x = \(\frac13\), 3
∴ p = 3 and the other root = 3.