Solve x4 – 17x2 + 16 = 0. let u = this is a question on my test

The solution of the equation is x = 4 or x = -4 or x = 1 or x = -1.

Step-by-step explanation:

Consider the provided equation.

Let u = x²

So, u² = x⁴

Therefore, the provided equation can be written as:

u² - 17u + 16 = 0

u² - u - 16u + 16 = 0

u(u - 1) - 16(u - 1) = 0

(u - 1) (u - 16) = 0

u = 1 or u = 16

Now substitute u = x².

x² = 1 or x² = 16

Take the square root of both sides:

x = ±1 or x = ±4

Hence, the solution of the equation is x = 4 or x = -4 or x = 1 or x = -1.

80%

step-by-step explanation:

the correct answer to your question is a. 4^4

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