Question

X^2+2x+1 при x=√20-1

Answer 1

x² + 2x + 1 = (x + 1)² = (√20 - 1 + 1)² = √20² = 20

Answer 2

To evaluate the expression x^2 + 2x + 1 when x = √20 - 1, you simply substitute the value of x into the expression:

x^2 + 2x + 1 = (√20 - 1)^2 + 2(√20 - 1) + 1

Now, let's calculate:

(√20 - 1)^2 = (4.4721 - 1)^2 = 3.4721^2 = 12.0471

2(√20 - 1) = 2 * 4.4721 - 2 = 8.9442 - 2 = 6.9442

Now, add these values together:

12.0471 + 6.9442 + 1 = 19.9913

So, when x = √20 - 1, x^2 + 2x + 1 equals approximately 19.9913.