Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation sin(x)=0
-
Equation tanx=-sqrt(3)
- Equation a*4a
- Equation 5x-3=3×-11
- Express {x} in terms of y where:
- -7*x+8*y=-14
- -14*x+2*y=8
- -17*x+14*y=-18
- -1*x-15*y=20
- Derivative of:
- 11
- Sum of series:
-
11
- Integral of d{x}:
-
11
-
Identical expressions
- | two *x- seven |= eleven
- module of 2 multiply by x minus 7| equally 11
- module of two multiply by x minus seven | equally eleven
- |2x-7|=11
-
Similar expressions
- |2*x+7|=11
|2*x-7|=11 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.
$$2 x - 7 \geq 0$$
or
$$\frac{7}{2} \leq x \wedge x < \infty$$
we get the equation
$$\left(2 x - 7\right) - 11 = 0$$
after simplifying we get
$$2 x - 18 = 0$$
the solution in this interval:
$$x_{1} = 9$$
2.
$$2 x - 7 < 0$$
or
$$-\infty < x \wedge x < \frac{7}{2}$$
we get the equation
$$\left(7 - 2 x\right) - 11 = 0$$
after simplifying we get
$$- 2 x - 4 = 0$$
the solution in this interval:
$$x_{2} = -2$$
The final answer:
$$x_{1} = 9$$
$$x_{2} = -2$$
allow cases, when this expressions ">=0" or "<0",
solve the resulting equation.
1.
$$2 x - 7 \geq 0$$
or
$$\frac{7}{2} \leq x \wedge x < \infty$$
we get the equation
$$\left(2 x - 7\right) - 11 = 0$$
after simplifying we get
$$2 x - 18 = 0$$
the solution in this interval:
$$x_{1} = 9$$
2.
$$2 x - 7 < 0$$
or
$$-\infty < x \wedge x < \frac{7}{2}$$
we get the equation
$$\left(7 - 2 x\right) - 11 = 0$$
after simplifying we get
$$- 2 x - 4 = 0$$
the solution in this interval:
$$x_{2} = -2$$
The final answer:
$$x_{1} = 9$$
$$x_{2} = -2$$
Sum and product of roots
[src]
sum
-2 + 9
$$-2 + 9$$
=
7
$$7$$
product
-2*9
$$- 18$$
=
-18
$$-18$$
-18