Question

А) 4х² + 8х - 21＜ 0 б) 8х - 4х² ＜0

Answer 1

Ответ:х=0 у=2

Пошаговое объяснение:

Answer 2

Let's solve the two inequalities:

a) 4x² + 8x - 21 < 0:

To solve this inequality, we can factorize the quadratic expression:

4x² + 8x - 21 = (2x - 3)(2x + 7)

Now, we can determine the sign of each factor:

2x - 3 < 0 2x + 7 > 0

Solving the first inequality:

2x - 3 < 0 2x < 3 x < 3/2

Solving the second inequality:

2x + 7 > 0 2x > -7 x > -7/2

Combining the solutions:

x < 3/2 or x > -7/2

b) 8x - 4x² < 0:

To solve this inequality, we can factorize the expression:

8x - 4x² = 4x(2 - x)

Now, we can determine the sign of each factor:

4x < 0 (2 - x) > 0

Solving the first inequality:

4x < 0 x < 0

Solving the second inequality:

2 - x > 0 -x > -2 x < 2

Combining the solutions:

0 < x < 2

To summarize:

a) The solution to 4x² + 8x - 21 < 0 is x < 3/2 or x > -7/2. b) The solution to 8x - 4x² < 0 is 0 < x < 2.