Question

(a)

537
Given that -+-+-=0, express a in terms of b and c.
a b c
Ar (9² - s)
Make q the subject of the formula p:
a
(b)

Answer 1

see explanation

Explanation:

(a)

`(5)/(a)` +
`(3)/(b)` +
`(7)/(c)` = 0 ( multiply through by abc to clear the fractions )

5bc + 3ac + 7ab = 0 ( subtract 5bc from both sides )

3ac + 7ab = - 5bc ( factor a out of each term on the left side )

a(3c + 7b) = - 5bc ← divide both sides by (3c + 7b)

a = -
`(5bc)/(3c+7b)`

---------------------------------

(b)

p =
`(√(4r(q^2-s)) )/(q)` ( multiply both sides by q )

pq =
`√(4r(q^2-s))` ← square both sides

(pq)² = 4r(q² - s) ← distribute

p²q² = 4rq² - 4rs ← subtract 4rq² from both sides

p²q² - 4rq² = - 4rs ( multiply through by - 1 )

4rq² - p²q² = 4rs ← factor out q² from each term on the left side

q²(4r - p²) = 4rs ← divide both sides by (4r - p²)

q² =
`(4rs)/(4r-p^2)` ( take the square root of both sides )

q = ±
`\sqrt{(4rs)/(4r-p^2) }`

Answer 2

Here ia your answer

Hope it helps