Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation x^2-2x-24=0
-
Equation (2x-1)^2-4x^2=0
-
Equation (-4x+7)(-x+5)=0
- Equation ∣5x+4∣=0
- Express {x} in terms of y where:
- -15*x-19*y=2
- -11*x-14*y=-19
- -17*x-15*y=-17
- 1*x-19*y=-10
-
Identical expressions
- ∣5x+ four ∣= zero
- ∣5x plus 4∣ equally 0
- ∣5x plus four ∣ equally zero
- ∣5x+4∣=O
-
Similar expressions
- ∣5x-4∣=0
∣5x+4∣=0 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.
$$5 x + 4 \geq 0$$
or
$$- \frac{4}{5} \leq x \wedge x < \infty$$
we get the equation
$$5 x + 4 = 0$$
after simplifying we get
$$5 x + 4 = 0$$
the solution in this interval:
$$x_{1} = - \frac{4}{5}$$
2.
$$5 x + 4 < 0$$
or
$$-\infty < x \wedge x < - \frac{4}{5}$$
we get the equation
$$- 5 x - 4 = 0$$
after simplifying we get
$$- 5 x - 4 = 0$$
the solution in this interval:
$$x_{2} = - \frac{4}{5}$$
but x2 not in the inequality interval
The final answer:
$$x_{1} = - \frac{4}{5}$$
allow cases, when this expressions ">=0" or "<0",
solve the resulting equation.
1.
$$5 x + 4 \geq 0$$
or
$$- \frac{4}{5} \leq x \wedge x < \infty$$
we get the equation
$$5 x + 4 = 0$$
after simplifying we get
$$5 x + 4 = 0$$
the solution in this interval:
$$x_{1} = - \frac{4}{5}$$
2.
$$5 x + 4 < 0$$
or
$$-\infty < x \wedge x < - \frac{4}{5}$$
we get the equation
$$- 5 x - 4 = 0$$
after simplifying we get
$$- 5 x - 4 = 0$$
the solution in this interval:
$$x_{2} = - \frac{4}{5}$$
but x2 not in the inequality interval
The final answer:
$$x_{1} = - \frac{4}{5}$$
Sum and product of roots
[src]
sum
-4/5
$$- \frac{4}{5}$$
=
-4/5
$$- \frac{4}{5}$$
product
-4/5
$$- \frac{4}{5}$$
=
-4/5
$$- \frac{4}{5}$$
-4/5