Question

X³ + X-3X - 3=0 хелппп

Answer 1

Ответ: надеюсь  помоглаа

Объяснение:

Answer 2

To solve the equation x³ + x - 3x - 3 = 0, we can first simplify the expression:

x³ + x - 3x - 3 = x³ - 2x - 3 = 0

Now, let's try to factor the expression if possible. We can check for any rational roots using the Rational Root Theorem, which states that if the polynomial has a rational root p/q, where p is a factor of the constant term (-3) and q is a factor of the leading coefficient (1), then p/q will be a root of the polynomial.

The factors of the constant term (-3) are ±1 and ±3, and the factors of the leading coefficient (1) are ±1. Therefore, the possible rational roots are ±1 and ±3.

Let's test these values by substituting them into the equation:

For x = 1: 1³ - 2(1) - 3 = 1 - 2 - 3 = -4 (not equal to 0)

For x = -1: (-1)³ - 2(-1) - 3 = -1 + 2 - 3 = -2 (not equal to 0)

For x = 3: 3³ - 2(3) - 3 = 27 - 6 - 3 = 18 (not equal to 0)

For x = -3: (-3)³ - 2(-3) - 3 = -27 + 6 - 3 = -24 (not equal to 0)

Since none of the possible rational roots yield a value of zero, we cannot factor the expression easily. In this case, we can use numerical methods or calculators to find the approximate solutions.

Using a calculator or numerical methods, the approximate solutions for the equation x³ - 2x - 3 = 0 are:

x ≈ -1.7693 x ≈ 1.3846 x ≈ 1.3846 (repeated root)

Please note that the values are approximations and rounded to four decimal places.