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Apply the formula: $x+a=b$$\to x=b-a$, where $a=1$, $b=\sqrt{x+9}$, $x+a=b=\sqrt{x}+1=\sqrt{x+9}$, $x=\sqrt{x}$ and $x+a=\sqrt{x}+1$
Learn how to solve equazioni problems step by step online.
$\sqrt{x}=\sqrt{x+9}-1$
Learn how to solve equazioni problems step by step online. Solve the equation x^(1/2)+1=(x+9)^(1/2). Apply the formula: x+a=b\to x=b-a, where a=1, b=\sqrt{x+9}, x+a=b=\sqrt{x}+1=\sqrt{x+9}, x=\sqrt{x} and x+a=\sqrt{x}+1. Apply the formula: x^a=b\to \left(x^a\right)^{inverse\left(a\right)}=b^{inverse\left(a\right)}, where a=\frac{1}{2}, b=\sqrt{x+9}-1, x^a=b=\sqrt{x}=\sqrt{x+9}-1 and x^a=\sqrt{x}. Apply the formula: \left(a+b\right)^2=a^2+2ab+b^2, where a=\sqrt{x+9}, b=-1 and a+b=\sqrt{x+9}-1. Move the term with the square root to the left side of the equation, and all other terms to the right side. Remember to change the signs of each term.