Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation 0=-1-2x
-
Equation ||x|-6|=4
-
Equation -2x=0
-
Equation |x|=4,5
- Express {x} in terms of y where:
- 5*x+4*y=9
- -9*x+8*y=-16
- -15*x+15*y=10
- 7*x-19*y=16
- Derivative of:
-
|x|
- Graphing y =:
- |x|
- Integral of d{x}:
- |x|
- Sum of series:
-
4,5
-
Identical expressions
- |x|= four , five
- module of x| equally 4,5
- module of x| equally four , five
|x|=4,5 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
For every modulo expressions in the equation
allow cases, when this expressions ">=0" or "<0",
solve the resulting equation.
1.
$$x \geq 0$$
or
$$0 \leq x \wedge x < \infty$$
we get the equation
$$x - \frac{9}{2} = 0$$
after simplifying we get
$$x - \frac{9}{2} = 0$$
the solution in this interval:
$$x_{1} = \frac{9}{2}$$
2.
$$x < 0$$
or
$$-\infty < x \wedge x < 0$$
we get the equation
$$- x - \frac{9}{2} = 0$$
after simplifying we get
$$- x - \frac{9}{2} = 0$$
the solution in this interval:
$$x_{2} = - \frac{9}{2}$$
The final answer:
$$x_{1} = \frac{9}{2}$$
$$x_{2} = - \frac{9}{2}$$
allow cases, when this expressions ">=0" or "<0",
solve the resulting equation.
1.
$$x \geq 0$$
or
$$0 \leq x \wedge x < \infty$$
we get the equation
$$x - \frac{9}{2} = 0$$
after simplifying we get
$$x - \frac{9}{2} = 0$$
the solution in this interval:
$$x_{1} = \frac{9}{2}$$
2.
$$x < 0$$
or
$$-\infty < x \wedge x < 0$$
we get the equation
$$- x - \frac{9}{2} = 0$$
after simplifying we get
$$- x - \frac{9}{2} = 0$$
the solution in this interval:
$$x_{2} = - \frac{9}{2}$$
The final answer:
$$x_{1} = \frac{9}{2}$$
$$x_{2} = - \frac{9}{2}$$
Sum and product of roots
[src]
sum
-9/2 + 9/2
$$- \frac{9}{2} + \frac{9}{2}$$
=
0
$$0$$
product
-9*9 ---- 2*2
$$- \frac{81}{4}$$
=
-81/4
$$- \frac{81}{4}$$
-81/4
The graph