Question

solve the value of x : (1/7)^4-2x=√7​

Answer 1

Step-by-step explanation:

Given,

3−2x

+

7+2x

=4

or,

3−2x

=4−

7+2x

Squaring on both sides, we get

(

3−2x

)

2

=(4−

7+2x

)

2

⇒3−2x=16+7+2x−8

7+2x

⇒4x+20=8

7+2x

⇒x+5=2

7+2x

Again squaring on both sides, we get

(x+5)

2

=(2

7+2x

)

2

⇒x

2

+10x+25=4(7+2x)

⇒x

2

+10x+25=28+8x

⇒x

2

+2x−3=0

⇒x

2

+3x−x−3=0

⇒(x+3)(x−1)=0

⇒x=−3 or x=1

Possible value of x=1,−3

Hence, A is the correct option.