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

1 Answer
SCooke
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#
#AxxC = 4#; #BxxC + AxxD = -13#; #BxxD = 36#

The graph is:
enter image source here

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