Solve the equation. 36x^{-4}-13x^{-2}+1=0

Reeves

Reeves

Answered question

2021-09-22

Solve the equation.
36x413x2+1=0

Answer & Explanation

stuth1

stuth1

Skilled2021-09-23Added 97 answers

Step 1
Given: 36x413x2+1=0
For finding solution of given equation, we simplify it then factorize and find solution
Step 2
So,
36x413x2+1=0
36x413x2+1=0
3613x2+x4x4=0
x413x2+36=0...(1)
Now, factorize equation(1) and find solution
x413x2+36=0
x49x24x2+36=0
x2(x29)4(x29)=0
(x29)(x24)=0
(x232)(x222)=0   (a2b2=(a+b)(ab))
(x+3)(x-3)(x+2)(x-2)=0
x=-3, -2,2,3
Hence, solution of given equation is x=−3, −2, 2, 3.

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