which equation is related to $sqrt{x + 10}-1=x$?\n$x + 10=x^{2}+x + 1$\n$x + 10=x^{2}+2x + 1$\n$x +…
which equation is related to $sqrt{x + 10}-1=x$?\n$x + 10=x^{2}+x + 1$\n$x + 10=x^{2}+2x + 1$\n$x + 10=x^{2}+1$\n$x + 10=x^{2}-1$
Answer
Answer:
B. $x + 10=x^{2}+2x + 1$
Explanation:
Step1: Isolate the square - root term.
$\sqrt{x + 10}=x + 1$
Step2: Square both sides of the equation.
$(\sqrt{x + 10})^2=(x + 1)^2$
Step3: Expand the right - hand side.
$x + 10=x^{2}+2x + 1$ (using the formula $(a + b)^2=a^{2}+2ab + b^{2}$ where $a=x$ and $b = 1$)