Question

Х4-9х2+8=0 решите уровнение..

Answer 1

х⁴-9х²+8=0 биквадратное уравнение

х²=а

а²-9а+8=0

D=49, а₁=8, а₂=1

х²=8, х=±√8, х=±2√3

х²=1, х=±1

ответ -2√3, -1, 1, 2√3

Answer 2

I can help you solve this equation. The equation is x^4-9x^2+8=0. To solve it, we can use the following steps:

1. Factor the equation as (x^2-8)(x^2-1)=0. 2. Apply the zero product property and set each factor equal to zero: x^2-8=0 and x^2-1=0. 3. Solve for x in each equation: x=\pm\sqrt{8} and x=\pm 1. 4. Simplify the square root: x=\pm 2\sqrt{2} and x=\pm 1. 5. The final solution is x=\pm 2\sqrt{2}, \pm 1.

You can check your answer by plugging in the values of x into the original equation and verifying that they make it true. You can also use an online equation calculator to verify your answer. I hope this helps you understand how to solve this equation.

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