X^4+13^2+42=0

solve for x

x = - 28

Step-by-step explanation:

x4 + 13x2 + 42 = 0

Reorder the terms:

42 + 13x2 + x4 = 0

Solving

42 + 13x2 + x4 = 0

Solving for variable 'x'.

Factor a trinomial.

(7 + x2) (6 + x2) = 0

Simplifying

7 + x2 = 0

Solving

7 + x2 = 0

Add '-7' to each side of the equation.

7 + - 7 + x2 = 0 + - 7

Combine like terms: 7 + - 7 = 0

0 + x2 = 0 + - 7

x2 = 0 + - 7

Combine like terms: 0 + - 7 = - 7

x2 = - 7

Simplifying

x2 = - 7 = - 28