What are the solutions of the equation x^4 + 6x^2 + 5 = 0? use u substitution to solve.

x = ±√-1 or x = ±√-5

Step-by-step explanation:

It is given an equation x^4 + 6x^2 + 5 = 0  (1)

Solve equation using substitution

Let y = x^2

eq (1) ⇒ y^2 + 6y + 5 =0

Solve y^2 + 6y + 5 =0

y^2 + 6y + 5 =  y^2 + 1y + 5y + 5

= y(y + 1) + 5(y + 1)

= (y + 1)(y + 5)

Therefore the zeros are -1 and -5

x^2 = -1 or x^2 = -5

x = ±√-1 or x = ±√-5

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step-by-step explanation: