Question

2 (x - 2)(x + 2) - (x - 1 )^2=x^2-5​

Answer 1

Ответ:

Объяснение:

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Answer 2

Let's solve the given equation step by step:

2(x - 2)(x + 2) - (x - 1)^2 = x^2 - 5

First, we'll expand and simplify both sides of the equation:

2(x^2 - 4) - (x^2 - 2x + 1) = x^2 - 5

Now, distribute the 2 on the left side:

2x^2 - 8 - (x^2 - 2x + 1) = x^2 - 5

Next, remove the parentheses by distributing the negative sign on the right side:

2x^2 - 8 - x^2 + 2x - 1 = x^2 - 5

Now, combine like terms on both sides of the equation:

(2x^2 - x^2) + (2x - 8 - 1) = x^2 - 5

x^2 + 2x - 9 = x^2 - 5

Now, subtract x^2 from both sides of the equation to eliminate the x^2 terms:

2x - 9 = -5

Next, add 9 to both sides to isolate the 2x term:

2x - 9 + 9 = -5 + 9

2x = 4

Finally, divide both sides by 2 to solve for x:

(2x)/2 = 4/2

x = 2

So, the solution to the equation is x = 2.