# How do you solve the polynomial inequality and state the answer in interval notation given #2x^4>5x^2+3#?

##### 1 Answer

Aug 27, 2017

#### Explanation:

Rewrite and solve as an equation:

#2x^4 - 5x^2 - 3 = 0#

We let

#2u^2 - 5u - 3 = 0#

#2u^2 - 6u + u - 3 = 0#

#2u(u - 3) + 1(u - 3) = 0#

#(2u + 1)(u - 3) = 0#

#u = -1/2 and 3#

#x^2 = -1/2 and x^2 = 3#

The only real solution to this equation is

Hopefully this helps!