Question

(x^2+3x+2) * = x^3+5x+2 Звездочка(число которое нужно)Перед звездочкой Умножение на что?

Answer 1

(x² + 3x + 2)= x³ + 5x + 2
$a= \frac{x^3+5x+2}{x^2+3x+2}$
$\frac{x^3+5x+2}{x^2+3x+2} - \frac{a(x^2+3x+2)}{x^2+3x+2} = 0$
$\frac{x^3+5x+2-a(x^2+3x+2)}{x^2+3x+2}= 0$

x³ + 5x + 2 - a(x² + 3x + 2) = 0

примем a за x

x³ + 5x + 2 - x(x² + 3x + 2) = 0
x³ + 5x + 2 - x³ - 3x² - 2x = 0
-3x² + 3x + 2 = 0
D = b² - 4ac
D = (3)² - 4 * (-3) * 2 = 33

$x= \frac{-bб \sqrt{D} }{2a}$

$x= \frac{-3б5,74}{-6}$

x1 = -0,45(6)    x2 = 1,45(6 )

Answer 2

Equation Transformation

To transform the equation (x^2+3x+2)*=x^3+5x+2 by multiplying a number before the asterisk, we can follow these steps:

1. First, let's understand the original equation: - The left-hand side of the equation is (x^2+3x+2). - The right-hand side of the equation is x^3+5x+2.

2. Now, we need to find the number that, when multiplied by the left-hand side, will result in the right-hand side of the equation.

3. To solve for the number, we can use algebraic manipulation to isolate the variable.

4. Let's start by subtracting the left-hand side from the right-hand side: - x^3+5x+2 - (x^2+3x+2) = 0.

5. Simplifying the equation gives us: - x^3 - x^2 + 2x = 0.

6. Now, we can factor out an x from the equation: - x(x^2 - x + 2) = 0.

7. We have found that one of the solutions is x = 0. To find the other solutions, we can use the quadratic formula.

8. The quadratic formula is given by: - x = (-b ± √(b^2 - 4ac)) / (2a), where the quadratic equation is in the form ax^2 + bx + c = 0.

9. By applying the quadratic formula to the quadratic equation x^2 - x + 2 = 0, we can find the other solutions for x.

10. Once we have the values of x, we can substitute them back into the original equation to find the number that, when multiplied by the left-hand side, will result in the right-hand side of the equation.

Conclusion

In summary, to solve the equation (x^2+3x+2)*=x^3+5x+2 by multiplying a number before the asterisk, we need to manipulate the equation using algebraic techniques to isolate the variable and then solve for the number that satisfies the equation.