Question

Which equation is related to √x+10-1=x ? The square root is over the x+10
x + 10 = x2 + x + 1
x + 10 = x2 + 2x + 1
x + 10 = x2 + 1
x + 10 = x2 – 1

Answer 1

Answer:

  (b)  x + 10 = x^2 + 2x + 1

Step-by-step explanation:

The equation can be transformed to one without the radical by isolating the radical and squaring both sides.

__

  $\sqrt{x+10}-1=x\qquad\text{given}\\\\\sqrt{x+10}=x+1\qquad\text{add 1 to both sides}\\\\x+10=(x+1)^2\qquad\text{square both sides}\\\\\boxed{x+10=x^2+2x+1}\qquad\text{eliminate parentheses}$

_____

Additional comment

In typeset formulas, radicals, fraction bars, and superscript formatting serve to group expressions. In plain text, the only available grouping symbol is parentheses.

  $\sqrt{x+1}}\ \Rightarrow$ √(x+1)