Respuesta :
You can square both the sides so as to cancel out the square root of the left side.
One of the equivalent equation to the given equation is
[tex]x^2 + 81 = x^2 +100 + 20x\\[/tex]
How does square root and squaring works?
Suppose you have
[tex]\sqrt{a} = b[/tex]
Taking squares on both the sides, we get
[tex](\sqrt{a})^2 = b^2\\\\(a^{1/2})^2 = b^2\\\\a^1 = a = b^2[/tex]
It is because square root of a number is equal to raising that number to half power (1/2 power)
How to find one of the equivalent equation for the given equation?
We can try squaring both the sides
[tex]\sqrt{x^2 + 81} = x + 10\\\\\text{Taking square on both the sides}\\\\(\sqrt{x^2 + 81})^2 = (x + 10)^2\\\\x^2 + 81 = x^2 +100 + 20x\\[/tex]
Thus,
One of the equivalent equation to the given equation is
[tex]x^2 + 81 = x^2 +100 + 20x\\[/tex]
Learn more about equivalent equations here:
https://brainly.com/question/8522849
