Solve the equation. x^{-2}-2x^{-1}-35=0

CMIIh

CMIIh

Answered question

2021-09-26

Solve the equation.
x22x135=0

Answer & Explanation

Nicole Conner

Nicole Conner

Skilled2021-09-27Added 97 answers

Step 1
Given: x22x135=0
For finding solution of given equation, first we simplify it then by using factorization method find solution of given equation
Step 2
So,
x22x135=0
1x22x35=0
12x25x2x2=0
(35x2+2x1)=0;x0
35x2+2x1=0...(1)
Now, factorizing equation(1)
35x2+2x1=0
35x2+7x5x1=0
7x(5x+1)1(5x+1)=0
(5x+1)(7x1)=0
x=17,15
Hence, solution of given equation is x=17,15.

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