# How do you solve and graph 4x^4+36>=13x^2?

Jun 27, 2018

Calculate the desired number of data points, and put them on an appropriate graph paper. SOLVING may be done by factoring or graph analysis.

#### Explanation:

ANY graphing or plotting must start with a table of values of the independent variable and the evaluated expression. With those values you may plot them on graph paper manually, or use a computer plotting program.
We can factor the expression as:
4x^4 – 13x^2 + 36 ≥ 0
[Ax^2 +- B][Cx^2 +- D] ≥ 0
$A \times C = 4$; $B \times C + A \times D = - 13$; $B \times D = 36$

The graph is: