Solving Rationals
Solve the equation.
x-10/x =3
x=-2, x=5
Solve the equation.
5/x=7/(x+2)
x=5
Solve the equation.
1/x^2=81
x=+-1/9
Put in factored form
(6x^2-18x)/(x^2-10x+21)-(2x+3)/(x-7)= (14x+49)/(x-3)
LCD: (x-7)(x-3)
What are the excluded values for
2 - 2/(3x^2)=3/(2x)
x ≠ 0
Solve the equation.
5/(x+1)=2/(x+4)
x = -6
Solve the equation.
(x+12)/3=(2x+3)/(x+2)
x= -5, -3
Solve the equation.
(x-2)/(x-1)=x+2
x = 0
Put in factored form
x/(x^2-x-12) + 5/(2x)=x-8
LCD:2x(x-4)(x+3)
What are the excluded values for
3/(x-9) +1 = 2/x
x ≠ 0, 9
Solve the equation.
3/(x+2)+3/(2x+4)=x/(2x+4)
x = 9
Solve the equation.
1/(x+6)+(x+1)/x=13/(x+6)
x=2,3
Solve the equation.
2/(x+4)=1/(x+4)
no solution
Put in factored form.
(x-3)/(x+3) - (x^2-6)/(x^2-9)=1/2
LCD: 2(x+3)(x-3)
What are the excluded values for
(4x^2-12)/3
none
Solve the equation.
x/(x-3)+x/2=(6x)/(2x-6)
x = 0, x = 7
Solve the equation.
(3x)/(x+1)+6/(2x)=7/x
x=-2/3, 2
Solve the equation.
(6x-1)/(3x)=5
x=-1/9
Put in factored form
(x^2-5)/(x^2+5x-14) - (x+3)/(x+7)=(5x)/(3x(x+7))
LCD: 3x(x+7)(x-2)
What are the excluded values for
(x-5)/(x^2-x-6)-(x-7)/(x-3)=-4
x≠3, -2
Solve the equation.
(20x-35)/x+(x+1)/x=5/(x^2-2x)
x=7/3, x=9/7
Solve the equation
4/(n+1)+1/(n^2-5n-6)=1/(n-6)
x = 8
Solve the equation.
(x^2-4)/(x+3)+(x-2)/(x+3)=2
x = 4
Put in factored form
(3x+2)/(6x-48) - (2x^2+5x)/(x^2-4x-32)=7/6
LCD: 6(x-8)(x+4)
What are the excluded values for
(9x+5)/x+(x-8)/x=5/(x^2-4x)
x ≠ 0, 4