Exercise
$y+\sqrt{y^{2}-x^{2}}=ax^{2}$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the equation with radicals y+(y^2-x^2)^(1/2)=ax^2. 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. Removing the variable's exponent raising both sides of the equation to the power of 2. Move everything to the left hand side of the equation. Expand \left(ax^2-y\right)^2.
Solve the equation with radicals y+(y^2-x^2)^(1/2)=ax^2
Final answer to the exercise
$x^2=0,\:y=\frac{1+a^2x^2}{2a}$