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

(b) x + 10 = x^2 + 2x + 1

Explanation:

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

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`√(x+10)-1=x\qquad\text{given}\\\\√(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}`

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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.

`√(x+1)}\ \Rightarrow` √(x+1)