rational equations
rational expressions
two variables
three variables
complex numbers
100
x/2 + 1/3 = 5/6
1
100
n^2 + 6n + 5 / n + 1
n + 5
100
solve for x and y y = −2 4x − 3y = 18
(3, −2)
100
solve for x, y, and z x + 3y = −17 3x = −6 4x − 3y + 6z = 25
(−2, −5, 3)
100
what are the solutions to x^2 - 9?
3 and -3
200
4/3x + 5/4 = 3/x
4/3
200
p^2 -3p - 10 / p^2 + p - 2
p-5 / p-1
200
solve for x and y 2x + y = 20 6x − 5y = 12
(7, 6)
200
solve for x, y, and z −5x − 3y + z = −4 −2x − 2y + 2z = 4 z = x + 5
(0, 3, 5)
200
what are the sloutions to x^2 + 4?
2i and -2i
300
radical 3x+7 + 2(radical x-8) = 0 think before imaginary numbers!
no solution
300
(x+3)/(4) times 3(x-6)/3(x+3)
(x-6)/4
300
solve for x and y 4x + 8y = 20 −4x + 2y = −30
(7, −1)
300
solve for x, y, and z −x − 5y − 5z = 2 4x − 5y + 4z = 19 x + 5y − z = −20
(−2, −3, 3)
300
what are the solutions to x^2 = -28
+- 2i radical 7
400
7/(b+3) + 5/(b-3) = (10b - 2)/)b^2 - 9)
2
400
1/(5p^2) / 9p -36/(5p^3 -35p^2)
p-7/9(p-4)
400
solve for x and y 8x + 14y = 4 −6x − 7y = −10
(4, −2)
400
solve for x, y, and z 4x + 4y + z = 24 2x − 4y + z = 0 5x − 4y − 5z = 12
(4, 2, 0)
400
what is the solution to x^3 + 16x
0, 4i, -4i
500
(m+5)/m^2+m = 1/(m^2+m)-(m-6)/m+1
4,1
500
(10x^2-20x)/(40x^3 - 80x^2) times (16x^3 + 80x^2)/(6x + 30)
2x/3
500
solve for x and y 3 + 2x − y = 0, −3 − 7y = 10x
(−1, 1)
500
solve for x, y, and z −5x + 3y + 6z = 4, −3x + y + 5z = −5, −4x + 2y + z = 13
(−2, 4, −3)
500
what are the solutions to x^4 -5x^2 -36 = 0
2i, -2i, 3, -3
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