Question

64x^2-9=0 пожалуйста помогите решить

Answer 1

64x^2-9=0

64x^2=9

x^2=9/64   /:V

x=(+)(-) 3/8

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проверим

64*(3/8)^2-9=0

64*9/64-9=0

9-9 = 0

 

 

верно :)

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Answer 2

Solving the Equation 64x^2-9=0

To solve the equation 64x^2-9=0, we can use the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b). In this case, we can rewrite 64x^2-9 as (8x)^2 - 3^2. Then, we can apply the difference of squares formula to factorize the equation.

Step 1: Rewrite the equation using the difference of squares formula: ``` 64x^2 - 9 = (8x)^2 - 3^2 ```

Step 2: Apply the difference of squares formula to factorize the equation: ``` (8x + 3)(8x - 3) = 0 ```

Now, we have factored the equation into two binomial expressions. To solve for x, we can set each factor equal to zero and solve for x.

Step 3: Solve for x: ``` 8x + 3 = 0 or 8x - 3 = 0 ```

Step 4: Solve for x in each equation: ``` For 8x + 3 = 0: 8x = -3 x = -3/8

For 8x - 3 = 0: 8x = 3 x = 3/8 ```

Therefore, the solutions to the equation 64x^2-9=0 are x = -3/8 and x = 3/8.

[[SOURCE #1]]