Question

3^x + 3^-x =2 solve this problem. from quadratic equation ​

Answer 1

Answer:

x+3

−

x

1−x

=

4

17

⇒

x(x−2)

x(x+3)−(1−x)(x−2)

=

4

17

⇒

x

2

−2x

x

2

+3x−(x−2−x

2

+2x)

=

4

17

⇒

x

2

−2x

2x

2

+2

=

4

17

⇒8x

2

+8=17x

2

−34x⇒9x

2

−34x−8=0⇒9x(x−4)+2(x−4)=0

⇒(x−4)(9x+2)=0

⇒x−4=0or9x+2=0⇒x=4orx=−

9

2