How do I solve fractions with unknowns in the denominators?
To solve the equation: (5x+3)/(x) + x = 1, where (x) is the denominator, we have to convert the equation into an equation without any denominators.
To do this, we multiply each variable by (x), so the equation becomes: (5x+3) + (x)(x) = (1)(x).
The next step is to expand the brackets: 5x + 3 + x^2 = x
After this, we move all variables onto one side of the equation (by subtracting x from both sides) so that it equals 0: x^2 + 4x + 3 = 0
Factorsing this equation we get: (x + 3)(x + 1) = 0
Therefore, we can equate each bracket to 0, giving the solutions for x:
x + 3 = 0, x = -3
x + 1 = 0, x = -1
SA
Related Maths GCSE answers
All answers ▸If we take a fair 6 sided die and colour 3 of the faces blue, 2 green and 1 red and then roll the die 300 times, work out and estimate the number of times it will land with the green side up.
Solve the simultaneous equations: 4x+5y=13 and 3x-2y=27
Sue has 2 cats. Each cat eats 1 4 of a tin of cat food each day. Sue buys 8 tins of cat food. Has Sue bought enough cat food to feed her 2 cats for 14 days? You must show how you get your answer.
Find y and x of the to following equations: x +3y = 11 and x + 2y = 9.