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

`{-3,2}`

B

`{6,-1}`

C

`{-2,3}`

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 sum of the solutions of the equations 9^(x) - 6.3^(x) +8 = 0 is

For the equation 2x^(2)-6sqrt(2)x-1=0

Find roots equation 2x^(2)-x-3=0 .

How many real numbers x satisfy the equation 3^(2x+2)-3^(x+3)-3^(x)+3 = 0 ?

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

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

The number of solutions of the equation 16^(sin^(2)x)+16^(cos^(2)x)=10,x in[0,3pi] is …………..

Find solution(s) of equation 3.2^(x/2)-7.2^(x/4)=20,x in R

The number of real roots of the equation |x|^(2) -3|x| + 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)