Question

2^(2x+3) +2^(x+3) =1 find the value of p and alpha
​

Answer 1

Answer:

ANSWER

Let a be the common root of the equations.

Then a will satisfy both the equations.

Thus, 3a

2

−2a+p=0

6a

2

−17a+12=0

By cross multiplication, we have,

−24+17p

a

2

=

6p−36

a

=

39

−1

From 1 and 2, we have,

a=

6p−36

17p−24

......(1)

From 2 and 3, we have,

a=

−13

2p−12

......(2)

From 1 and 2, we get,

6p−36

17p−24

=

−13

2p−12

12p

2

+77p+120=0

(3p+8)(4p+15)=0

p=−

3

8

,−

4

15