# P.4 Solving Equations Algebraically and Graphically

## 14 terms · Section 4, Chapter P of "Precalculus with Limits"

### To solve equations with multiple fractions containing the variable.

Strategy: Group the fractions that contain the variable, then find a common denominator.

### To sovle an equation where one fraction is equal to another.

Strategy: Cross multiply then solve.

### (a, 0)

The x-intercept of a graph.

### (0, b)

The y-intercept of a graph.

### To solve a factor-able quadratic equation

Strategy: Factor out any GCFs. Then, factor the quadratic into 2 binomials. Set each factors equal to 0 to solve for the roots.

### To solve a quadratic that has no middle term, "Bx"

Strategy: Use a square-root.

### To solve a quadratic that cannot be factored and contains a middle term.

Strategy: Complete the square, then use a square root.

### To solve a quartic equation.

Strategy: Test if: the first term is quartic, the second term is quadratic, and the third term is a constant
Then: Factor the equation into 2 quadratics and solve.

### To solve a polynomial with 4 terms.

Strategy: Factor by grouping, then solve.

### To solve an equation with one radical.

Strategy: Isolate the radical then, square both sides.

### To solve an equation with two radicals.

Strategy: Set the radicals equal, then square both sides.

### To solve an equation that contains absolute value bars.

Strategy: Isolate the absolute value bars, then write two equations and solve for both possible solutions.

### To solve for points of intersection on a calculator.

Strategy: Graph both equations. Use "CALC" then "5:intersect"