Question

Помогите с уравнениями, плиз!!!!!!!!!!!!!!!! 4x^2-28=0 3(3x^2+2)=6 9/16x^2+1=0 3x^2-18=0 2(8x^2+5)=10 25/36x^2+1=0 Заранее спасибо большое!

Answer 1

Вот полное решение с объяснением

Answer 2

Solving Equations

Let's solve the equations one by one:

1. Equation 1: 4x^2 - 28 = 0

To solve this equation, we can start by adding 28 to both sides of the equation to isolate the term with x^2. Then, we divide both sides by 4 to solve for x^2. Finally, we take the square root of both sides to find the values of x.

Here are the steps:

4x^2 - 28 = 0 4x^2 = 28 x^2 = 28/4 x^2 = 7 x = ±√7

So the solutions to this equation are x = √7 and x = -√7.

2. Equation 2: 3(3x^2 + 2) = 6

To solve this equation, we can start by distributing the 3 on the left side of the equation. Then, we simplify the equation and isolate the term with x^2. Finally, we divide both sides by the coefficient of x^2 to solve for x^2.

Here are the steps:

3(3x^2 + 2) = 6 9x^2 + 6 = 6 9x^2 = 6 - 6 9x^2 = 0 x^2 = 0/9 x^2 = 0

So the solution to this equation is x = 0.

3. Equation 3: 9/16x^2 + 1 = 0

To solve this equation, we can start by subtracting 1 from both sides of the equation to isolate the term with x^2. Then, we multiply both sides by 16/9 to solve for x^2. Finally, we take the square root of both sides to find the values of x.

Here are the steps:

9/16x^2 + 1 = 0 9/16x^2 = -1 x^2 = -1 * 16/9 x^2 = -16/9 x = ±√(-16/9)

The square root of a negative number is not a real number, so this equation has no real solutions.

4. Equation 4: 3x^2 - 18 = 0

To solve this equation, we can start by adding 18 to both sides of the equation to isolate the term with x^2. Then, we divide both sides by 3 to solve for x^2. Finally, we take the square root of both sides to find the values of x.

Here are the steps:

3x^2 - 18 = 0 3x^2 = 18 x^2 = 18/3 x^2 = 6 x = ±√6

So the solutions to this equation are x = √6 and x = -√6.

5. Equation 5: 2(8x^2 + 5) = 10

To solve this equation, we can start by distributing the 2 on the left side of the equation. Then, we simplify the equation and isolate the term with x^2. Finally, we divide both sides by the coefficient of x^2 to solve for x^2.

Here are the steps:

2(8x^2 + 5) = 10 16x^2 + 10 = 10 16x^2 = 10 - 10 16x^2 = 0 x^2 = 0/16 x^2 = 0

So the solution to this equation is x = 0.

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