Question

Which equation is equivalent to StartRoot x squared + 81 EndRoot = x + 10?

Answer 1

The given equation is equivalent to Option D .

The mission option is

A. x+10= x+10

B. x+9 =x² + 20x + 100

C. x² +81 = x² + 100

D. x² + 81 = x² +20x + 100

What is an Equation ?

An equation is a mathematical statement formed when two algebraic expression is equated by an equal sign .

An equation is given in the question

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

$\rm {x^2 + 9^2} = (x +10)^2$

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

Therefore the given equation is equivalent to Option D .

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