Question

1) 7t³-5=(t²-1)-(5+t²-7t³) решите уравнение 2) 5a²-4=a²-(4a-4a²) ПОМОГИТЕ ПОЖАЛУЙСТА

Answer 1

Первое не знаю, только 2 , извини

Answer 2

1) Let's solve the equation 7t³ - 5 = (t² - 1) - (5 + t² - 7t³).

To solve this equation, we can start by simplifying both sides of the equation.

On the right side, we have (t² - 1) - (5 + t² - 7t³). Simplifying this expression, we get:

(t² - 1) - (5 + t² - 7t³) = t² - 1 - 5 - t² + 7t³ = -6 - 7t³

Now, our equation becomes 7t³ - 5 = -6 - 7t³.

To solve for t, we can combine like terms and isolate the variable t.

Adding 7t³ to both sides, we get:

7t³ + 7t³ - 5 = -6

Combining like terms, we have:

14t³ - 5 = -6

Next, we can add 5 to both sides of the equation:

14t³ - 5 + 5 = -6 + 5

Simplifying, we get:

14t³ = -1

Finally, we can divide both sides of the equation by 14 to solve for t:

14t³ / 14 = -1 / 14

Simplifying further, we have:

t³ = -1/14

Taking the cube root of both sides, we get:

t = ∛(-1/14)

So the solution to the equation 7t³ - 5 = (t² - 1) - (5 + t² - 7t³) is t = ∛(-1/14).

2) Let's solve the equation 5a² - 4 = a² - (4a - 4a²).

To solve this equation, we can start by simplifying both sides of the equation.

On the right side, we have a² - (4a - 4a²). Simplifying this expression, we get:

a² - (4a - 4a²) = a² - 4a + 4a²

Now, our equation becomes 5a² - 4 = a² - 4a + 4a².

To solve for a, we can combine like terms and isolate the variable a.

Subtracting a² from both sides, we get:

5a² - a² - 4 = 4a² - 4a

Combining like terms, we have:

4a² - 4 = 4a² - 4a

Next, we can subtract 4a² from both sides of the equation:

4a² - 4 - 4a² = 4a² - 4a - 4a²

Simplifying, we get:

-4 = -4a

Finally, we can divide both sides of the equation by -4 to solve for a:

-4 / -4 = -4a / -4

Simplifying further, we have:

1 = a

So the solution to the equation 5a² - 4 = a² - (4a - 4a²) is a = 1.

I hope this helps! Let me know if you have any further questions.