Question

(х+2010)(х+2011)(х+2012)=24

Answer 1

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Answer 2

To solve the equation (x + 2010)(x + 2011)(x + 2012) = 24, we can start by expanding the left side of the equation and then solve for x.

Expanding the equation:

(x + 2010)(x + 2011)(x + 2012) = 24

Expanding this product can be quite cumbersome, so let's simplify the equation by introducing a new variable. Let's define y = x + 2011.

Substituting y back into the equation:

(y - 1)(y)(y + 1) = 24

Expanding this expression:

(y - 1)(y)(y + 1) = 24 (y^2 - 1)(y) = 24 y^3 - y = 24 y^3 - y - 24 = 0

Now, we have a cubic equation in terms of y. To solve this equation, we can try to factorize it or use numerical methods.

Factoring this cubic equation might not be straightforward, so let's use numerical methods to find approximate solutions.

Using numerical methods, such as Newton's method or the bisection method, we can find approximate solutions for y. Then, we can substitute these values of y back into the equation y = x + 2011 to find the corresponding values of x.

Please note that calculating the exact solutions to this cubic equation might require complex mathematical techniques.