Mister Exam
Other calculators
-
How to use it?
- Equation:
-
Equation (x-4)/(x-6)=2
-
Equation e^x=2
-
Equation x^2=-12
-
Equation x^2+4*x=21
- Express {x} in terms of y where:
- 19*x-3*y=-12
- 17*x-7*y=15
- -15*x-3*y=7
- 15*x+10*y=13
-
Identical expressions
- 14x+(seven)/(two x)-8x^(two)-(two)/(4x^(2))= nine
- 14x plus (7) divide by (2x) minus 8x to the power of (2) minus (2) divide by (4x to the power of (2)) equally 9
- 14x plus (seven) divide by (two x) minus 8x to the power of (two) minus (two) divide by (4x to the power of (2)) equally nine
- 14x+(7)/(2x)-8x(2)-(2)/(4x(2))=9
- 14x+7/2x-8x2-2/4x2=9
- 14x+7/2x-8x^2-2/4x^2=9
- 14x+(7) divide by (2x)-8x^(2)-(2) divide by (4x^(2))=9
-
Similar expressions
- 14x-(7)/(2x)-8x^(2)-(2)/(4x^(2))=9
- 14x+(7)/(2x)-8x^(2)+(2)/(4x^(2))=9
- 14x+(7)/(2x)+8x^(2)-(2)/(4x^(2))=9
14x+(7)/(2x)-8x^(2)-(2)/(4x^(2))=9 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
7 2 2
14*x + --- - 8*x - ---- = 9
2*x 2
4*x
$$\left(- 8 x^{2} + \left(14 x + \frac{7}{2 x}\right)\right) - \frac{2}{4 x^{2}} = 9$$
Sum and product of roots
[src]
sum
___ ___
1 I*\/ 3 1 I*\/ 3
1 + 1/4 + - - ------- + - + -------
4 4 4 4
$$\left(\left(\frac{1}{4} + 1\right) + \left(\frac{1}{4} - \frac{\sqrt{3} i}{4}\right)\right) + \left(\frac{1}{4} + \frac{\sqrt{3} i}{4}\right)$$
=
7/4
$$\frac{7}{4}$$
product
___
1 I*\/ 3
- - ------- / ___\
4 4 |1 I*\/ 3 |
-----------*|- + -------|
4 \4 4 /
$$\frac{\frac{1}{4} - \frac{\sqrt{3} i}{4}}{4} \left(\frac{1}{4} + \frac{\sqrt{3} i}{4}\right)$$
=
1/16
$$\frac{1}{16}$$
1/16
Rapid solution
[src]
x1 = 1/4
$$x_{1} = \frac{1}{4}$$
x2 = 1
$$x_{2} = 1$$
___
1 I*\/ 3
x3 = - - -------
4 4
$$x_{3} = \frac{1}{4} - \frac{\sqrt{3} i}{4}$$
___
1 I*\/ 3
x4 = - + -------
4 4
$$x_{4} = \frac{1}{4} + \frac{\sqrt{3} i}{4}$$
x4 = 1/4 + sqrt(3)*i/4
Numerical answer
[src]
x1 = 0.25
x2 = 1.0
x3 = 0.25 - 0.433012701892219*i
x4 = 0.25 + 0.433012701892219*i
x4 = 0.25 + 0.433012701892219*i