X^4-9x^2 + 14 find the real-number solutions of the equation.

x^4-9x^2 + 14

= (x ^2 - 7) (x^2 - 2)

solve for x

x^2-2 = 0

x^2 = 2

x = + √ 2 = + 1.4142 and x = - √ 2 = - 1.4142

x^2-7 = 0

x^2 = 7

x = + √ 7 = + 2.6458 and x = - √ 7 = - 2.6458

answer: 4 solutions

x = + √ 2 = + 1.4142

x = - √ 2 = - 1.4142

x = + √ 7 = + 2.6458

x = - √ 7 = - 2.6458