Question

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

Answer 1

D is the right answer

Answer 2

Answer:

Option D is correct

$x^2+81 = x62+20x+100$

Step-by-step explanation:

Given the equation:

$\sqrt{x^2+81}=x+10$

Squaring both sides we get;

$x^2+81 = (x+10)^2$

Using identity rule:

$(a+b)^2 = a^2+2ab+b^2$

then;

$x^2+81 = x62+20x+100$

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