Question

(x+1/x+2)^2= x+2/x+4

Answer 1

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Let the age of father be x years

Let the age of one of his children be y years and age of other children be z years

From given information,

x=2×(y+z)...(1)

After 20 years,

(x+20)=(y+20)+(z+20)...(2)

Substituting value of (1) in (2), we get

2×(y+z) +20=y+z+40

2y+2z−y−z=40−20

y+z=20...(3)

Substituting value of (3) in (1), we get

x=2×(20)

⇒x=40

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Answer 2

Step-by-step explanation:

Step by Step Solution

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Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

(x+1/x+2)^2-(x+2/x+4)=0

Step by step solution :

STEP

1

:

2

Simplify —

x

Equation at the end of step

1

:

1 2

(((x+—)+2)2)-((x+—)+4) = 0

x x

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Adding a fraction to a whole

Rewrite the whole as a fraction using x as the denominator :

x x • x

x = — = —————

1 x