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Solve the equation:
[tex]x^4 - x^2 - 2 =0[/tex]

Sagot :

Vortexdevityidn

Answer:

±2

Step-by-step explanation:

This is a biquadratic equation, we must turn it into a quadratic one first before we solve it. So, let's say that x⁴ = y², therefore

[tex]y = \sqrt{x} [/tex]

and we turn it into the following quadratic equation:

y² - y - 2 = 0

then we solve it the way we solve a normal quadratic equations and find the roots:

D = 1 + 8 = 9

y1,2 = 1 ± 3 = 4, -2

[tex] \sqrt{x} = y[/tex]

We cannot find the square root of -2, so the solutions are only -2 and 2(because square root of 4 is equal to ±2)

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