Question

pls solve the 1 one , don't spam​

Answer 1

Answer:

Solution:

Let the two roots be $\infty \: \: and \: \: \beta$

$</p><p></p><p>= > \beta = 6a$

According to the question,

Sum of the roots

$= \frac{ - \beta }{ \infty }$

Product of the roots

$= \frac{c}{ \infty }$

Here,

$\alpha = p$

$b = - 14 \: \: and \: \: c \: \: = 8$

$= > \alpha + \beta = \frac{14}{p}$

$= > \alpha \beta = \frac{8}{p}$

$= > \infty + 6 \infty = \frac{14}{p}$

$= > 7 \infty = \frac{14}{p} \\ \\ = > \infty = \frac{2}{p}$

Now,

$\alpha \beta = \frac{8}{p} \\ \\ = > 8(6 \alpha ) = \frac{8}{p} \\ \\ = > 6 \infty {}^{2} = \frac{8}{p}$

$= > 3 \alpha {}^{2} = \frac{4}{p} \\ \\ = > 3( \frac{2}{p} ) {}^{2} = \frac{4}{p} \\ \\ = > 3( \frac{4}{p} ) {}^{2} = \frac{4}{p}$

$= > p = 3$

Therefore, value of k is 3.