Question

A)12-(3x^2+5x)+(-8x+3x^2)=0 б)(2y^3+3y^2-7)-(5+y^3+3y^2)=3y^3+y-5y в)4n(n-1)-3n(2n+4)+2n(n-2)=0 г) 3n(n-2)-4n(2n+3)+5n(n+2)=1 д)3x(2x+1)-x(6x-1)=10 е)х(4x-2)-2x(2x+4)=4 плиз!

Answer 1

Ответ:

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Answer 2

A) To solve the equation 12 - (3x^2 + 5x) + (-8x + 3x^2) = 0, we can simplify and combine like terms:

12 - 3x^2 - 5x - 8x + 3x^2 = 0

Simplifying further:

12 - 13x = 0

Now, isolate x by moving the constant term to the other side:

-13x = -12

Dividing both sides by -13:

x = 12/13

Therefore, the solution to the equation is x = 12/13.

B) For the equation (2y^3 + 3y^2 - 7) - (5 + y^3 + 3y^2) = 3y^3 + y - 5y:

Combine like terms:

2y^3 + 3y^2 - 7 - 5 - y^3 - 3y^2 = 3y^3 + y - 5y

Simplifying further:

y^3 - 4y^3 - 6y + 3y^2 + 5y = 0

Combining like terms again:

-3y^3 - y^2 - y = 0

Now, there is no further simplification possible for this equation, and we have a polynomial of degree 3. To find the exact solution, we may need to use numerical or graphical methods.

C) The equation 4n(n-1) - 3n(2n+4) + 2n(n-2) = 0 can be simplified as follows:

4n^2 - 4n - 6n^2 - 12n + 2n^2 - 4n = 0

Combining like terms:

(4n^2 - 6n^2 + 2n^2) + (-4n - 12n - 4n) = 0

-2n^2 - 20n = 0

Factoring out common terms:

-2n(n + 10) = 0

Setting each factor equal to zero:

-2n = 0 or n + 10 = 0

Solving each equation:

n = 0 or n = -10

Therefore, the solutions to the equation are n = 0 and n = -10.

D) To solve the equation 3n(n-2) - 4n(2n+3) + 5n(n+2) = 1, we can simplify and combine like terms:

3n^2 - 6n - 8n^2 - 12n + 5n^2 + 10n = 1

Combining like terms:

(3n^2 - 8n^2 + 5n^2) + (-6n - 12n + 10n) = 1

-n^2 - 8n = 1

Adding 1 to both sides:

-n^2 - 8n + 1 = 0

This equation is quadratic in nature. To find the exact solution, you can use the quadratic formula or factoring techniques.

E) For the equation 3x(2x+1) - x(6x-1) = 10, we can simplify and combine like terms:

6x^2 + 3x - 6x^2 + x = 10

Combining like terms:

(6x^2 - 6x^2) + (3x + x) = 10

4x = 10

Dividing both sides by 4:

x = 10/4

Simplifying further:

x = 5/2 or x = 2.5

Therefore, the solutions to the equation are x = 5/2 or x = 2.5.