Question

If 5^2x+3/25=100 find the value of x+x^2+x^-1​

Answer 1

Step-by-step explanation:

5

2x−2

=5

2x−1

−100

shift 5

2x−2

to the left hand side

Now, Multiply the equation with -1

5

2x−1

−5

2x−2

=100

5

2x−2

(5−1)=100

5

2x−2

=

4

100

25

x−1

=25

( ∵ 5

2x−2

=(5

2

)

x−1

)

now,

x−1=1

x=2