Answered

At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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

Sagot :

vortexdevity

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)

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.