To solve each inequality, we need to first isolate the quadratic term and then factor or expand to simplify before determining the solutions.
1) x^2 + 9 < 0 Since x^2 is always non-negative for real numbers, the inequality x^2 + 9 < 0 has no real solutions.
2) (x + 5)^2 + 3 < 0 Expanding (x + 5)^2 gives x^2 + 10x + 25, so the inequality becomes x^2 + 10x + 25 + 3 < 0. Simplifying further, we get x^2 + 10x + 28 < 0. This quadratic equation does not have real solutions since the parabola opens upwards.
3) -(x - 2)^2 - 4 > 0.66 Expanding -(x - 2)^2 gives -x^2 + 4x - 4, so the inequality becomes -x^2 + 4x - 4 - 0.66 > 0. Simplifying further, we get -x^2 + 4x - 4.66 > 0. In order to solve this, it would be best to set up a quadratic equation and determine the roots by factoring or using the quadratic formula.
It seems the last part of your question, ":25 > 2 ," doesn't have a clear relation to the provided inequalities. If you need further clarification or have another question, please feel free to ask!
To solve each inequality, we need to first isolate the quadratic term and then factor or expand to simplify before determining the solutions.
1) x^2 + 9 < 0
Since x^2 is always non-negative for real numbers, the inequality x^2 + 9 < 0 has no real solutions.
2) (x + 5)^2 + 3 < 0
Expanding (x + 5)^2 gives x^2 + 10x + 25, so the inequality becomes x^2 + 10x + 25 + 3 < 0. Simplifying further, we get x^2 + 10x + 28 < 0. This quadratic equation does not have real solutions since the parabola opens upwards.
3) -(x - 2)^2 - 4 > 0.66
Expanding -(x - 2)^2 gives -x^2 + 4x - 4, so the inequality becomes -x^2 + 4x - 4 - 0.66 > 0. Simplifying further, we get -x^2 + 4x - 4.66 > 0. In order to solve this, it would be best to set up a quadratic equation and determine the roots by factoring or using the quadratic formula.
It seems the last part of your question, ":25 > 2 ," doesn't have a clear relation to the provided inequalities. If you need further clarification or have another question, please feel free to ask!