Question

please answer the question

Answer 1

Answer:

The required numeric value of x is 4 or - 4 .

Step-by-step explanation:

Given equation : 2√x + 5 - √2x + 8 = 2

= >  2√x + 5 = 2 + √2x + 8

Square on both sides,

= >  4( x + 5 ) = 4 + 2x + 8 + 4√2x + 8

= >  4x + 20 = 4 + 8 + 2x + 4√2x + 8

= >  4x + 20 = 12 + 2x + 4√2x + 8

= >  4x - 2x + 20 - 12 = 4√2x + 8

= >  2x + 8 = 4√2x + 8

= >  x + 4 = 2√2x + 8

= >  ( x + 4 )^2 = 4( 2x + 8 )

= >  x^2 + 16 + 8x = 8x + 32

= >  x^2 + 8x - 8x + 16 - 32 = 0

= >  x^2 - 16 = 0

= >  x^2 = 16

= >  x^2 = ( 4 )^2  or ( - 4 )^2

= >  x = 4 or - 4

Therefore the required value of x is 4 or - 4.

Answer 2

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