Home
Class 12
MATHS
Solution of the equation 3^(2x^2)-2.3^(x...

Solution of the equation `3^(2x^2)-2.3^(x^2+x+6)+3^(2(x+6))=0` is

A

a) `{-3,2}`

B

b) `{6,-1}`

C

c) `{-2,3}`

D

d) `{1,-6}`

Text Solution

Verified by Experts

The correct Answer is:
C
We have `3^(2x^(2))-2.3^(x^(2)+x+6)+3^(2(x+6))=0`
`implies(3^(x^(2))-3^(x+6)^(2)=0`
`implies3^(x^(2))-3x^(x+6)=0`
`implies3^(x^(2))-3^(x+6)=0`
`=3^(x^(2))=3^(x+6)impliesx^(2)-x+6`
`impliesx^(2)-x-6=0`
`implies(x-3)(x+2)=0`
`:.x={-2,3}`
Promotional Banner

Similar Questions

Explore conceptually related problems

The number of real solutions of the equation 3^(-|x|)-2^(|x|)=0 is:

The solution of the inequation (1-2 x-3 x^(2))/(3 x-x^(2)-5) gt 0 is

The number of real solutions of the equation : | x^(2) + 4x + 3 | + 2x + 5 = 0 is :

Number of solutions of the equation 2 sin^3x + 6 sin^2x -sin x-3=0 in (0, 2pi), are

The product of all the solutions of the equation (x-2)^(2)-3|x-2|+2=0 is

Solve the inequation 2^(2x^(2)-10x+3)+6.2^(x^(2)-5x).3^(x^(2)-5x)ge3^(2x^(2)-10x+3)

The number of solutions of the equation x^(3)+x^(2)+4x+2sinx=0 in 0 le x le 2pi is

Find the number of solution of the equations sin^3 x cos x + sin^(2) x* cos^(2) x+sinx * cos^(3) x=1 , when x in[0,2pi]

The number of solutions of the equation : x_2-x_3=1 -x_1+2x_3=2 x_1-2x_2=3 is :

The number of solutions for the equation x^(2)- 5 x + 6 = 0 is..