Question

X2+5x-6меньше0 |неравенство............

Answer 1

Ответ:

х2+5х+6 равно 0

Объяснение:

Короче это теорема 7 класса геометрии

Answer 2

Solving the Inequality x^2 + 5x - 6 < 0

To solve the inequality x^2 + 5x - 6 < 0, we need to find the values of x that satisfy the inequality.

We can start by factoring the quadratic expression x^2 + 5x - 6. The factors of -6 that add up to 5 are 6 and -1. Therefore, we can rewrite the expression as (x + 6)(x - 1) < 0.

Next, we can determine the sign of the expression (x + 6)(x - 1) for different intervals of x. To do this, we can use a sign chart or test values within each interval.

Let's consider three intervals: x < -6, -6 < x < 1, and x > 1.

For x < -6: - If we choose x = -7, both factors (x + 6) and (x - 1) are negative, so their product is positive. - If we choose x = -5, (x + 6) is positive and (x - 1) is negative, so their product is negative.

Therefore, (x + 6)(x - 1) is positive for x < -6.

For -6 < x < 1: - If we choose x = 0, (x + 6) is positive and (x - 1) is negative, so their product is negative.

Therefore, (x + 6)(x - 1) is negative for -6 < x < 1.

For x > 1: - If we choose x = 2, both factors (x + 6) and (x - 1) are positive, so their product is positive. - If we choose x = 5, (x + 6) is positive and (x - 1) is positive, so their product is positive.

Therefore, (x + 6)(x - 1) is positive for x > 1.

Based on our analysis, we can conclude that the inequality x^2 + 5x - 6 < 0 is satisfied when -6 < x < 1.

In interval notation, the solution to the inequality is -6 < x < 1.

Conclusion

The solution to the inequality x^2 + 5x - 6 < 0 is -6 < x < 1. This means that the values of x that satisfy the inequality are all real numbers between -6 and 1, excluding -6 and 1 themselves.

Please let me know if you need any further clarification.