Question

Решите графическое упавнение 8/х=х+2; срооочнооо

Answer 1

У=8/х - это гипербола, проходящая в 1 и 3 четверти. (точки х=2 и у=4, х=1 и у=8, х=4 и у=2; х=-2 и у=-4, х=-1 и у=-8, х=-4 и у=-2 должно получиться две ветви) 
у=х+2 - прямая, проходящая через точки: х=2 и у=4, х=4 и у=6; х=0 и у=2, х=-4 и у=-2.
Ищем точки пересечения: (2;4) и (-4;-2)
ответ: х=2, х=-4

Answer 2

Solving the Equation 8/x = x + 2

To solve the equation 8/x = x + 2, we need to find the value of x that satisfies the equation. Let's go through the steps to solve it:

Step 1: Multiply both sides of the equation by x to eliminate the denominator: - 8/x * x = (x + 2) * x - 8 = x^2 + 2x

Step 2: Rearrange the equation to bring all terms to one side: - x^2 + 2x - 8 = 0

Step 3: Factor the quadratic equation: - (x + 4)(x - 2) = 0

Step 4: Set each factor equal to zero and solve for x: - x + 4 = 0 --> x = -4 - x - 2 = 0 --> x = 2

Therefore, the solutions to the equation 8/x = x + 2 are x = -4 and x = 2.