Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation cos(x)=√3/2
- Equation x^2-x-56=0
-
Equation cos(x)=-1/4
-
Equation |a|=9
- Express {x} in terms of y where:
- -19*x-4*y=5
- 19*x+3*y=-3
- 9*x+1*y=-18
- -2*x+7*y=4
-
Identical expressions
- |a|= nine
- module of a| equally 9
- module of a| equally nine
|a|=9 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.
$$a \geq 0$$
or
$$0 \leq a \wedge a < \infty$$
we get the equation
$$a - 9 = 0$$
after simplifying we get
$$a - 9 = 0$$
the solution in this interval:
$$a_{1} = 9$$
2.
$$a < 0$$
or
$$-\infty < a \wedge a < 0$$
we get the equation
$$- a - 9 = 0$$
after simplifying we get
$$- a - 9 = 0$$
the solution in this interval:
$$a_{2} = -9$$
The final answer:
$$a_{1} = 9$$
$$a_{2} = -9$$
allow cases, when this expressions ">=0" or "<0",
solve the resulting equation.
1.
$$a \geq 0$$
or
$$0 \leq a \wedge a < \infty$$
we get the equation
$$a - 9 = 0$$
after simplifying we get
$$a - 9 = 0$$
the solution in this interval:
$$a_{1} = 9$$
2.
$$a < 0$$
or
$$-\infty < a \wedge a < 0$$
we get the equation
$$- a - 9 = 0$$
after simplifying we get
$$- a - 9 = 0$$
the solution in this interval:
$$a_{2} = -9$$
The final answer:
$$a_{1} = 9$$
$$a_{2} = -9$$
Sum and product of roots
[src]
sum
-9 + 9
$$-9 + 9$$
=
0
$$0$$
product
-9*9
$$- 81$$
=
-81
$$-81$$
-81
The graph