Question

please answer this question ​

Answer 1

Answer:

7/12

Step-by-step explanation:

3x² + 7x + p = 0

If (- 2) is a root of this equation, then

3(- 2)² + 7(- 2) + p = 0 ⇒ p = 2

3x² + 7x + 2 = 0

(ax²+ bx + c = 0 and $x_{1}x_{2} = \frac{c}{a}$ )

$-2x_{2} = \frac{2}{3}$ ⇒ $x_{2}$ = $\frac{-1}{3}$

($\frac{-1}{3}$)² + k(4($\frac{-1}{3}$) + k - 1) + p = 0

(- 2)² + k(4(- 2) + k - 1) + p = 0

$\frac{1}{9}$ - $\frac{4}{3}k$ + k² - k + p = 0 .... (1)

4 - 8k + k² - k + p = 0 .... (2)

(1)*9 - (2)*9

60k = 35

k = $\frac{7}{12}$

Answer 2

Answer:

You report all irrelevant questions thank you so much