Question

X^2+3x+2>0 c бесконечностью и стрелочкой

Answer 1

Вооооооооооооооооооооооот

Answer 2

Quadratic Inequality: x^2 + 3x + 2 > 0

To solve the quadratic inequality x^2 + 3x + 2 > 0, we can use the method of factoring or the quadratic formula. Let's use the factoring method.

1. Factor the quadratic expression x^2 + 3x + 2: - The factors of 2 that add up to 3 are 1 and 2. - So, we can rewrite the expression as (x + 1)(x + 2) > 0.

2. Determine the sign of the quadratic expression for different intervals: - When x < -2, both factors (x + 1) and (x + 2) are negative, so the expression is positive: (+) * (+) = (+). - When -2 < x < -1, the factor (x + 1) is positive, but (x + 2) is negative, so the expression is negative: (+) * (-) = (-). - When x > -1, both factors (x + 1) and (x + 2) are positive, so the expression is positive: (+) * (+) = (+).

3. Determine the solution: - The inequality (x + 1)(x + 2) > 0 is satisfied when the expression is positive. - Therefore, the solution to the inequality is x < -2 or x > -1.

In interval notation, the solution is (-∞, -2) U (-1, ∞).

I hope this helps! Let me know if you have any further questions.