Question

find the root x-1/x=30​

Answer 1

Answer:

x−

x

1

​

=3

⇒x

2

−3x−1=0

⇒x=

2a

−b±

b

2

−4ac

​

​

⇒a=1,b=−3,c=−1

⇒x=

2

3±

9+4

​

​

⇒x=

2

3±

13

​

​

ii)

(x+4)

1

​

−

(x−7)

1

​

=

30

11

​

⇒

(x+4)(x−7)

(x−7−x−4)

​

=

30

11

​

⇒

(x+4)(x−7)

−11

​

=

30

11

​

⇒−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

Step-by-step explanation: