Respuesta :

Answer:

x + 10 = x² + 2x + 1

Step-by-step explanation:

[tex]\sqrt{x + 10}[/tex] - 1 = x

x + 1 = [tex]\sqrt{x + 10}[/tex]

Squaring both sides gives;

(x + 1)² = ([tex]\sqrt{x + 10}[/tex])²

x + 10 = x² + 2x + 1

Answer:

option B

Step-by-step explanation:

the given equation is,

[tex]\sqrt{x+10}-1 =x[/tex].................................(1)

adding  both side by 1 in equation (1)

[tex]\sqrt{x+10}= x + 1[/tex]

squaring both side              

x + 10 = ( x + 1 )²                

we know,

( a + b )²  = a² + b² + 2 a b

x + 10 = x² + 2 x + 1

hence, the correct answer is option B.

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