Find the smallest value of x at which the values of the expressions x ^ 2-2x and x + 4 are equal to each other

Let’s equate the expressions: x ^ 2 – 2x = x + 4.

Move everything from the right side of the equation to the left and solve the quadratic equation:

x ^ 2 – 2x – x – 4 = 0;

x ^ 2 – 3x – 4 = 0;

x1 = 4; x2 = -1.

To answer, you need to find the smallest value of X. Obviously, x2 is less than x1, therefore, the smallest value of X at which these expressions are equal is -1.

Answer: -1.