Question

X² + 2x + 1 = 3 + 1Выдели полный квадрат ​

Answer 1

Ответ:

x² + 2x = 3+ 1 - 1

x² + 2x = 3

x² + 2x - 3 = 0

D = b² - 4ac = 4 - 4 - ( -3 ) = 4 + 12 = 16 √D = 4

x1 = - b + √D / 2a = - 2 + 4 /2 = 1

x2 = -b - √D/ 2a = - 2 - 4 /2 = - 3

x1 = 1; x2 = - 3

Answer 2

To identify the complete square in the given quadratic equation, let's first set it equal to zero and put it in standard form:

x² + 2x + 1 = 3 + 1

Now, simplify the equation:

x² + 2x + 1 = 4

Now, we can recognize that the left side of the equation can be expressed as a perfect square:

(x + 1)² = 4

The complete square in the original equation is (x + 1)².