Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation cos(x)-1=0
-
Equation 4x+9=5(2x-7)-6x
- Equation x^(2)-4*x+y^(2)+3=0
- Equation 8⋅(8+y)−5y=4y−63.
- Express {x} in terms of y where:
- lnx^y=ln1
- 12*10^(-30)-0,1884*10^12*x^2-y(0,3768*10^12*x+1,183152*10^12*x^3)+y^2(2,760688*10^24*x^2)=0=0
- (x^2+y^2)×(x+y-3)=2xy
- sqrt(1-x)^2+(4-y)^2=0
- Derivative of:
-
4+x
- Graphing y =:
- 4+x
- Limit of the function:
-
4+x
-
Identical expressions
- abs(abs(x)+ three)= four +x
- abs(abs(x) plus 3) equally 4 plus x
- abs(abs(x) plus three) equally four plus x
- absabsx+3=4+x
-
Similar expressions
- x+x/0,61+x/(0,61*0,64)+x/(0,61*0,64*0,74)=1
- abs(abs(x)+3)=4-x
- abs(abs(x)-3)=4+x
abs(abs(x)+3)=4+x 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
$$- x + x - 1 = 0$$
after simplifying we get
incorrect
the solution in this interval:
2.
$$x < 0$$
or
$$-\infty < x \wedge x < 0$$
we get the equation
$$- x - x - 1 = 0$$
after simplifying we get
$$- 2 x - 1 = 0$$
the solution in this interval:
$$x_{1} = - \frac{1}{2}$$
The final answer:
$$x_{1} = - \frac{1}{2}$$
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
$$- x + x - 1 = 0$$
after simplifying we get
incorrect
the solution in this interval:
2.
$$x < 0$$
or
$$-\infty < x \wedge x < 0$$
we get the equation
$$- x - x - 1 = 0$$
after simplifying we get
$$- 2 x - 1 = 0$$
the solution in this interval:
$$x_{1} = - \frac{1}{2}$$
The final answer:
$$x_{1} = - \frac{1}{2}$$
Sum and product of roots
[src]
sum
-1/2
$$- \frac{1}{2}$$
=
-1/2
$$- \frac{1}{2}$$
product
-1/2
$$- \frac{1}{2}$$
=
-1/2
$$- \frac{1}{2}$$
-1/2