Question

(3х+5)(3х-5)-(3х-1)^2=10

Answer 1

(3x+5)(3x-5)-(3x-1)^2=10 начинаешь так, а дальше как на фото

Answer 2

Let's solve the equation step by step:

1. Expand the expressions: (3x + 5)(3x - 5) = 9x^2 - 15x + 15x - 25 = 9x^2 - 25 (3x - 1)^2 = (3x - 1)(3x - 1) = 9x^2 - 3x - 3x + 1 = 9x^2 - 6x + 1

2. Substitute the expanded expressions back into the original equation: (9x^2 - 25) - (9x^2 - 6x + 1) = 10

3. Simplify the equation: 9x^2 - 25 - 9x^2 + 6x - 1 = 10 -25 + 6x - 1 = 10

4. Combine like terms: 6x - 26 = 10

5. Isolate the variable: 6x = 10 + 26 6x = 36

6. Solve for x: x = 36 / 6 x = 6

So the value of x that satisfies the equation is x = 6. You can verify this solution by substituting x = 6 back into the original equation and checking if both sides are equal.