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 Depdendent Variable

 Number of equations to solve: 23456789
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 Dependent Variable

 Number of inequalities to solve: 23456789
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Solving Equations with One Radical Term

Example

Solve for y:

 Solution = -1 Step 1 Isolate the radical term. Subtract 4y from both sides. = -4y - 1 Step 2 Apply the Principle of Powers. Square both sides. = (-4y - 1)2 Step 3 Solve the resulting equation. Write the right side as a product. FOIL the right side. Subtract 16y2 from both sides. Subtract 1 from both sides. 16y2 + 3 16y2 + 3 3 2 = (-4y - 1)(-4y - 1) = 16y2 + 8y + 1 = 8y + 1 = 8y Divide both sides by 8 and reduce. = y Step 4 Check the solution.

The result is an extraneous solution.

So, the equation has no solution.