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4 years ago

Use quadratic techniques to solve x^4 - 6x^2 + 8 = 0.

Mathematics

1 answer:

Katen [24]4 years ago

7 0

Answer:x = +- 2 and x = +- √2

Step-by-step explanation:

Let's covert x^4 - 6x^2 + 8 = 0 into quadratic equation.

Let e = x ^ 2

So,

(x^2)^2 - 6x^2 + 8 = 0

e^2 - 6e + 8 = 0

e^2 - 4e - 2e + 8 = 0

e( e - 4 ) -2( e - 4 )

( e - 4 ) ( e - 2 ) = 0

Either,

e - 4 = 0

x^2 - 4 = 0 ( REMEMBER THAT e= x^2)

x^2 = 4

x = +- 2

Or,

e - 2 = 0

x^2 = 2

x = +- √2

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