Question

2(x-2)(x+2)-(x-1) ²=x²-5 ?​

Answer 1

Ответ:

....

Объяснение:

Answer 2

Let's solve the given equation step by step:

Given equation: 2(x-2)(x+2) - (x-1)² = x² - 5

First, let's simplify the left-hand side of the equation:

1. Expand the squared term: (x-1)² = x² - 2x + 1

2. Expand the first term: 2(x-2)(x+2) = 2(x² - 4) = 2x² - 8

Now we can substitute the expanded terms back into the equation:

2x² - 8 - (x² - 2x + 1) = x² - 5

Now combine like terms on the left-hand side:

2x² - 8 - x² + 2x - 1 = x² - 5

Simplify further:

x² + 2x - 9 = x² - 5

Subtract x² from both sides:

2x - 9 = -5

Add 9 to both sides:

2x = 4

Divide by 2:

x = 2

So, the solution for the equation is x = 2. You can verify this solution by substituting it back into the original equation to make sure it holds true.