Question

If x=−1/3 is the root of the equation 3x2−(p+2)x−4=0, find the value of p.

Answer 1

Answer:

★Question★

• If x = −1/3 is the root of the equation 3x² − (p + 2)x − 4 = 0, find the value of p.

★Given :-

• x = −1/3 is the root of the equation 3x² − (p + 2)x − 4 = 0.

★To Find :-

• The value of p.

★Solution:-

x = −1/3 is the root of the equation 3x² − (p + 2)x − 4 = 0

$\bf\implies \:3 {( - \dfrac{1}{3} )}^{2} - (p + 2)( - \dfrac{1}{3} ) - 4 = 0$

$\bf\implies \:3 \times \dfrac{1}{9} + \dfrac{1}{3} (p + 2) - 4 = 0$

$\bf\implies \:\dfrac{1}{3} + \dfrac{1}{3} (p + 2) - 4 = 0$

$\bf\implies \:\dfrac{1 + p + 2 - 12}{3} = 0$

$\bf\implies \:p - 9 = 0$

$\bf\implies \:p = 9$

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