Question

find the roots of the following equations: (i).x+1/x=3​

Answer 1

Answer:

ANSWER

i) x− x1

=3

⇒x 2 −3x−1=0

⇒x= 2a−b± b 2−4ac

⇒a=1,b=−3,c=−1

⇒x= 23± 9+4

⇒x= 23± 13

ii) (x+4)1− (x−7)1

= 3011

⇒ (x+4)(x−7)

(x−7−x−4)

= 311

⇒ (x+4)(x−7)−11

= 3011

⇒−30=x 2 −3x−28

⇒x

2 −3x+2=0

⇒x 2 −2x−x+2=0

⇒x(x−2)−1(x−2)=0

⇒(x−2)(x−1)=0

⇒x=1,2

Answer 2

Answer:

x+1/x=3

x+1=3x

x-3x=-1

-2x=-1

x=1/2

Step-by-step explanation:

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