Equations Reducible to Quadratics
Solving polynomial equations by factoring
- Write the equation in standard form (zero on the right side).
- Take out the common factor and collect the remaining factor.
- Factor completely.
- Set each factor equal to zero.
- Solve for x.
The first step is to isolate the rational expression. Second, determine the rational exponent and raise both sides of the equation to the reciprocal exponent. Simplify and check your answers.
Solving Radical Equations:
The basic approach to solving radical equations is to get rid of the radical equation. Get rid of the square root by squaring each side of the equation. Get rid of the cube root by cubing both sides of the equation, etc.
In order to solve a radical equation in one variable algebraically, we need to know the principle of powers rule.
Learn more about solving radical, absolute, and fourth degree equations below.
Equations Reducible to Quadratics
Practice: Solve radical, absolute and fourth degree equations in the following exercises.