Question

What are the solutions of the equation x4 – 5x2 – 14 = 0? Use factoring to solve.

Answer 1

d on edge.

Explanation:

Answer 2

We will use factoring:
`x^(4) -5 x^(2) -14 = 0 \\ x^(4) -7 x^(2) +2 x^(2) -14 =0 \\ x^(2) ( x^(2) -7) +2( x^(2) -7)=0 \\ ( x^(2) -7)( x^(2) +2)=0`
x² - 7 = 0
x² = 7
x =
`√(7)`
or x=
`-√(7)`
x² + 2 = 0
x² = - 2, this part of equation has no solutions.