Mister Exam
sqrt(1+4a)+1>=0 inequation
The solution
You have entered
[src]
_________ \/ 1 + 4*a + 1 >= 0
$$\sqrt{4 a + 1} + 1 \geq 0$$
sqrt(4*a + 1) + 1 >= 0
Detail solution
Given the inequality:
$$\sqrt{4 a + 1} + 1 \geq 0$$
To solve this inequality, we must first solve the corresponding equation:
$$\sqrt{4 a + 1} + 1 = 0$$
Solve:
Given the equation
$$\sqrt{4 a + 1} + 1 = 0$$
Because equation degree is equal to = 1/2 and the free term = -1 < 0,
so the real solutions of the equation d'not exist
This equation has no roots,
this inequality is executed for any x value or has no solutions
check it
subtitute random point x, for example
$$\sqrt{4 a + 1} + 1 \geq 0$$
so the inequality has no solutions
$$\sqrt{4 a + 1} + 1 \geq 0$$
To solve this inequality, we must first solve the corresponding equation:
$$\sqrt{4 a + 1} + 1 = 0$$
Solve:
Given the equation
$$\sqrt{4 a + 1} + 1 = 0$$
Because equation degree is equal to = 1/2 and the free term = -1 < 0,
so the real solutions of the equation d'not exist
This equation has no roots,
this inequality is executed for any x value or has no solutions
check it
subtitute random point x, for example
x0 = 0
$$\sqrt{4 a + 1} + 1 \geq 0$$
_________
1 + \/ 1 + 4*a >= 0
so the inequality has no solutions
Rapid solution
[src]
And(-1/4 <= x, x < oo)
$$- \frac{1}{4} \leq x \wedge x < \infty$$
(-1/4 <= x)∧(x < oo)
Rapid solution 2
[src]
[-1/4, oo)
$$x\ in\ \left[- \frac{1}{4}, \infty\right)$$
x in Interval(-1/4, oo)