Question

What are the solutions of the equation X4-9x2 + 8 = 0? Use u substitution to solve.
O x = 1 and x = 2.13
O x=+1 and x=+22
O x= ti and X=
O x = ti and X=25
=+21/2

Answer 1

Answer: the answer is B

Step-by-step explanation:

Answer 2

The solutions of the equation X⁴-9x² + 8 = 0 is ±2√2 and ±1

How to solve equation using substitution

X⁴-9x² + 8 = 0

Let x² = y

Then the equation becomes y² - 9y + 8 = 0

This is in the form ax² + bx + c = 0

We can solve by using quadratic formula for finding roots

x = {-b ± √(b² - 4ac)} / 2a

where,

• a = 1,
• b = -9,
• c = 8

= {-(-9) ± √((-9)2 - 4(1)(8))} / 2(1)

= {9 ± √(81 - 32)} / 2

= {9 ± √49} / 2

= {9 ± 7}/2

= 16/2, 2/2

= 8, 1

y = 8,1

x = ±2√2, ±1

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