Question

Which equation is equivalent to StartRoot x squared 81 EndRoot = x 10? x 9 = x 10 x 9 = x2 20x 100 x2 81 = x2 100 x2 81 = x2 20x 100.

Answer 1

The expression that is equivalent to $\sqrt{x^{2}+81 } =x+10$ is $x^{2} +81 = x^{2} +20x+100$.

Given equation is:

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

Squaring both sides:

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

What is the formula for identity (a+b)²?

The formula for (a+b)² is a²+2ab+b²

So, the above equation can be expressed as,

$x^{2} +81 = x^{2} +20x+100$

Therefore, The expression that is equivalent to $\sqrt{x^{2}+81 } =x+10$ is $x^{2} +81 = x^{2} +20x+100$.

To get more about identities visit:

https://brainly.com/question/14120566

Answer 2

Answer:

b

Step-by-step explanation: