Question

If 3 ^ (1 + x) + 3 ^ (1 - x) = 10 , then the values of x are​

Answer 1

Answer:

Question

If 3

1+x

+3

1−x

=10, then the values of x are

A

1,−1

B

1,0

C

1,2

D

−1,−2

Medium

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Solution

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Correct option is A)

3

1+x

+3

1−x

=10

3(3

x

)+

3

x

3

=10

3(3

2x

)+3=10.3

x

Let

3

x

=t.

Then the above equation changes to

3(t

2

)+3=10t

3t

2

−10t+3=0

3t

2

−9t−t+3=0

3t(t−3)−1(t−3)=0

(3t−1)(t−3)=0

t=

3

1

,3

Or

3

x

=

3

1

and 3

x

=3

Or

x=−1,1.