Question

please help me find this 7q + 4/q +2 = -4/3

Answer 1

Answer:

q =

$\frac{ - 4}{21} \: \: and \: \: \frac{ - 2}{7}$

Step-by-step explanation:

$7q + \frac{4}{q} + 2 = \frac{ - 4}{3}$

$\frac{7q {}^{2} + 4}{q} + 2 = \frac{ - 4}{3}$

$\frac{7q {}^{2} + 4 }{q} = \frac{ - 4}{3} - 2$

$\frac{7q {}^{2} + 4 }{q} = \frac{ - 4 - 6}{3}$

$\frac{7q {}^{2} + 4 }{q} = \frac{ - 10}{3}$

now cross multiply....

$3({7q}^{2} + 4) = - 10q$

${21q}^{2} + 12 = - 10q$

$21q {}^{2} + 10q + 12 = 0$

now use the formula ...

a = 21

b = 10

c=12

refer image for the balance simplifications...

q=

• -4/21
• -2/7