Question

(x²+3x) (x² + 3x − 2) = 8

Answer 1

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Answer 2

Ответ:надеюсь это правильно и пойдёт..

Объяснение:(х²+3х)(х³+3х-2)=8

х⁴+3х³-2х²+3х³+9х²-6х=8

х⁴+6х³+7х²-6х=8

х=-4,х2=-2,х3=-1,х4=1

Answer 3

To solve the equation (x² + 3x)(x² + 3x - 2) = 8, we can start by expanding the left side of the equation:

(x² + 3x)(x² + 3x - 2) = 8

Expanding using the distributive property:

x²(x² + 3x - 2) + 3x(x² + 3x - 2) = 8

Now, let's simplify each term:

x⁴ + 3x³ - 2x² + 3x³ + 9x² - 6x + 8 = 8

Combining like terms:

x⁴ + 6x³ + 7x² - 6x = 0

Now, let's rearrange the equation to bring all the terms to one side:

x⁴ + 6x³ + 7x² - 6x = 0

Subtracting 8 from both sides:

x⁴ + 6x³ + 7x² - 6x - 8 = 0

Now, we have a quartic equation. Unfortunately, there is no general formula to directly solve quartic equations algebraically. However, you can solve it numerically or by factoring or using approximation methods.

If you're looking for numerical solutions, you can use methods like the Newton-Raphson method, the bisection method, or other root-finding algorithms. These methods can approximate the solutions of the equation.

If you're looking for factoring or approximation methods, please let me know, and I can provide further guidance.