Question

Which equation is equivalent to sqrt x^2 +81= x + 10

A. x+10= x+10
B. X+9 =x^2 + 20x + 100
C. x^2 +81 = x^2 + 100
D. x^2 + 81 = x^2 +20x + 100

Answer 1

Answer: Option D $x^{2} +81 = x^{2}+100+20x$

Explanation:

To remove square root we can use squaring both sides

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

on solving right hand side by the formula $(a+b)^2$ = $a^{2}$ +$b^{2}$ +2ab

we will get $x^{2} +20x+100$

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

Answer 2

x² + 81= x² + 20x + 100 is equivalent to the equation √(x²+81)= x + 10

Polynomial

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Polynomials are classified based on degree as linear, quadratic, cubic and so on.

From the quadratic equation

√(x²+81)= x + 10

Squaring both sides:

(x²+81)= (x + 10)²

x² + 81= x² + 20x + 100

Find out more on Polynomial at: https://brainly.com/question/2833285