Respuesta :
The equation [tex]\rm \sqrt{x^2 + 81} = x + 10[/tex] is equivalent to [tex]\rm x^2 + 81 = x^2 + 20x + 100[/tex]. Then the correct option is D.
What is a quadratic equation?
It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The equation is given below.
[tex]\rm \sqrt{x^2 + 81} = x + 10[/tex]
Squaring both sides, we have
[tex]\rm (\sqrt{x^2 + 81})^2 = (x + 10)^2\\\\x^2 \ \ +\ \ 81 \ \ = x^2 + 20x + 100[/tex]
Thus, the equation [tex]\rm \sqrt{x^2 + 81} = x + 10[/tex] is equivalent to [tex]\rm x^2 + 81 = x^2 + 20x + 100[/tex]. Then the correct option is D.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
