algebraic fraction. solve for x and express your answer in simplest radical form: 4/x - 3/(x+1) =7?

Answer 1

4/x - 3/(x+1) =7?

You need to first create a common fraction, by finding a common denominator. For this, the common denominator will need to be x(x+1).

4/x * (x+1)/(x+1) - 3/(x + 1) * x/x = 7
(4(x + 1) - 3x) / x(x+1) = 7
(4x + 4 - 3x) / x(x+1) = 7
(x + 4) / x(x+1) = 7
(x + 4) = 7 x(x+1) = 7x^2 + 7x
0 = 7x^2 + 7x - x - 4
0 = 7x^2 + 6x - 4

Now, use the quadratic equation:
x = (-b +/- ((b^2 - 4ac)^1/2)) / 2a
x = (-6 +/- ((36 - 4(7)(-4))^1/2)) / 14
x = (-6 +/- ((36 + 112)^1/2)) / 14
x = (-6 +/- ((148^1/2)) / 14
x = -6/14 +/- 2√37 / 14
x = -3/7 +/- √37 / 7
x = (√37 - 3) / 7, -(√37 + 3) / 7

Answer 2

x=(-sqrt(37)+3)/7 or (sqrt(37)-3)/7 (radical variety) x=-a million.297538 or .440395 (decimal variety) once you've a question and favor more advantageous than solutions inspect the link below once you've an pastime in quite low-cost on line tutoring :)