ocb7103
contestada

Which equation is equivalent to square root x2+81=x+10?
A. x + 9 = x + 10
B. x + 9 = x2 + 20x + 100
C. x2 + 81 = x2 + 100
D. x2 + 81 = x2 + 20x + 100

Respuesta :

Kamikazeminem
D is the right answer

Answer:

Option D is correct

[tex]x^2+81 = x62+20x+100[/tex]

Step-by-step explanation:

Given the equation:

[tex]\sqrt{x^2+81}=x+10[/tex]

Squaring both sides we get;

[tex]x^2+81 = (x+10)^2[/tex]

Using identity rule:

[tex](a+b)^2 = a^2+2ab+b^2[/tex]

then;

[tex]x^2+81 = x62+20x+100[/tex]

Therefore, [tex]x^2+81 = x62+20x+100[/tex] equation is equivalent to [tex]\sqrt{x^2+81}=x+10[/tex]