Question

If zero of 3x + 4 and px + 9 are equal, then the value of p is

Answer 1

p(x) = 3x + 4,

For zero put p(x) = 0

So, 3x + 4 = 0

So, x = -4/3         ---(1)

For zero put f(x) = px + 9 = 0

So p(-4/3) +9 = 0         (From 1)

So, (-4p+27)/3 = 0/3

So, -4p = -27

So, p = 27/4

Answer 2

Answer:

Value of p is 27/4

Step-by-step explanation:

3x + 4 = 0

3x = –4

x = –4/3 ...(i)

px + 9 = 0

p(–4/3) + 9 = 0 (from i)

–4p/3 + 9 = 0

–4p + 27 / 3 = 0

–4p + 27 = 0

–4p = –27

4p = 27

p = 27/4