Question

X(x+5)(x-5)-x(x²-13)=76

Answer 1

х(х+5)(х-5)-х(х²-13)=76

х(х²-25)-х³+13х=76

х³-25х-х³+13х=76

-12х=76

$x = - \frac{19}{3}$

Answer 2

Ответ:

x=-19/3

Пошаговое объяснение:

x*(x+5)*(x-5)-x*(x^2 -13)=76

x*(x^2 -25)-x^3 +13x=76

x^3 -25x-x^3 + 13x=76

-12x=76

x=-76/12 сокращаем

получается: X=-19/3

Answer 3

To solve the equation X(x+5)(x-5) - x(x^2 - 13) = 76, follow these steps:

1. Expand the expressions on both sides of the equation:

   X(x+5)(x-5) - x(x^2 - 13) = 76

   X(x^2 - 25) - x(x^2 - 13) = 76

2. Distribute X and x on both sides:

   Xx^2 - X25 - xx^2 + x13 = 76

3. Combine like terms:

   (X - x)*x^2 - 25X + 13x = 76

4. Rearrange the equation to isolate the quadratic term:

   (X - x)*x^2 = 76 + 25X - 13x

5. Subtract the constants on the right side:

   (X - x)*x^2 = 25X - 13x + 76

6. Divide both sides by (X - x):

   x^2 = (25X - 13x + 76) / (X - x)

7. At this point, the equation becomes a bit complicated to solve directly. To find the solutions for x, you might need to simplify the right side further or use numerical methods, such as a graphing calculator or a numerical solver, to approximate the solutions.

Keep in mind that the solutions may not have a simple closed-form expression due to the complexity of the equation. Numerical methods might be the most practical way to find the approximate values of x.