Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 3*x=12
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Equation 4,3x-3,5=2,5x+1,9
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Equation sin(x)=5/2
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Equation -5*x^2+x=0
- Express {x} in terms of y where:
- -12*x+10*y=2
- -11*x-15*y=-7
- -6*x-6*y=-20
- -9*x-10*y=-20
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Identical expressions
- (3x+ two)/(4x^ two -4x)=(two x+ one)/(4x^2- one)- one /x
- (3x plus 2) divide by (4x squared minus 4x) equally (2x plus 1) divide by (4x squared minus 1) minus 1 divide by x
- (3x plus two) divide by (4x to the power of two minus 4x) equally (two x plus one) divide by (4x squared minus one) minus one divide by x
- (3x+2)/(4x2-4x)=(2x+1)/(4x2-1)-1/x
- 3x+2/4x2-4x=2x+1/4x2-1-1/x
- (3x+2)/(4x²-4x)=(2x+1)/(4x²-1)-1/x
- (3x+2)/(4x to the power of 2-4x)=(2x+1)/(4x to the power of 2-1)-1/x
- 3x+2/4x^2-4x=2x+1/4x^2-1-1/x
- (3x+2) divide by (4x^2-4x)=(2x+1) divide by (4x^2-1)-1 divide by x
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Similar expressions
- (3x-2)/(4x^2-4x)=(2x+1)/(4x^2-1)-1/x
- (3x+2)/(4x^2+4x)=(2x+1)/(4x^2-1)-1/x
- (3x+2)/(4x^2-4x)=(2x+1)/(4x^2-1)+1/x
- (3x+2)/(4x^2-4x)=(2x-1)/(4x^2-1)-1/x
- (3x+2)/(4x^2-4x)=(2x+1)/(4x^2+1)-1/x
(3x+2)/(4x^2-4x)=(2x+1)/(4x^2-1)-1/x equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
3*x + 2 2*x + 1 1 ---------- = -------- - - 2 2 x 4*x - 4*x 4*x - 1
$$\frac{3 x + 2}{4 x^{2} - 4 x} = \frac{2 x + 1}{4 x^{2} - 1} - \frac{1}{x}$$
Rapid solution
[src]
____
7 I*\/ 31
x1 = -- - --------
20 20
$$x_{1} = \frac{7}{20} - \frac{\sqrt{31} i}{20}$$
____
7 I*\/ 31
x2 = -- + --------
20 20
$$x_{2} = \frac{7}{20} + \frac{\sqrt{31} i}{20}$$
x2 = 7/20 + sqrt(31)*i/20
Sum and product of roots
[src]
sum
____ ____ 7 I*\/ 31 7 I*\/ 31 -- - -------- + -- + -------- 20 20 20 20
$$\left(\frac{7}{20} - \frac{\sqrt{31} i}{20}\right) + \left(\frac{7}{20} + \frac{\sqrt{31} i}{20}\right)$$
=
7/10
$$\frac{7}{10}$$
product
/ ____\ / ____\ |7 I*\/ 31 | |7 I*\/ 31 | |-- - --------|*|-- + --------| \20 20 / \20 20 /
$$\left(\frac{7}{20} - \frac{\sqrt{31} i}{20}\right) \left(\frac{7}{20} + \frac{\sqrt{31} i}{20}\right)$$
=
1/5
$$\frac{1}{5}$$
1/5
Numerical answer
[src]
x1 = 0.35 - 0.278388218141501*i
x2 = 0.35 + 0.278388218141501*i
x2 = 0.35 + 0.278388218141501*i