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Apply the formula: $x+a=b$$\to x=b-a$, where $a=\sqrt{x+7}$, $b=7$, $x+a=b=\sqrt{x}+\sqrt{x+7}=7$, $x=\sqrt{x}$ and $x+a=\sqrt{x}+\sqrt{x+7}$
Learn how to solve equazioni problems step by step online.
$\sqrt{x}=7-\sqrt{x+7}$
Learn how to solve equazioni problems step by step online. Solve the equation x^(1/2)+(x+7)^(1/2)=7. Apply the formula: x+a=b\to x=b-a, where a=\sqrt{x+7}, b=7, x+a=b=\sqrt{x}+\sqrt{x+7}=7, x=\sqrt{x} and x+a=\sqrt{x}+\sqrt{x+7}. 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=7-\sqrt{x+7}, x^a=b=\sqrt{x}=7-\sqrt{x+7} and x^a=\sqrt{x}. Apply the formula: \left(a+b\right)^2=a^2+2ab+b^2, where a=7, b=-\sqrt{x+7} and a+b=7-\sqrt{x+7}. 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.
