How do you solve #x/(2x3) + 4/(x+1) = 1#?
We want to use this to get the fractions on the left hand side into one fraction, via a common denominator. Recall that the value of a fraction does not change if we multiply the numerator and denominator by the same thing.
By signing up, you agree to our Terms of Service and Privacy Policy
To solve the equation x/(2x3) + 4/(x+1) = 1, we can follow these steps:

Find a common denominator for the fractions on the left side of the equation. In this case, the common denominator is (2x3)(x+1).

Multiply each term by the common denominator to eliminate the fractions. This gives us x(x+1) + 4(2x3) = (2x3)(x+1).

Simplify the equation by expanding and combining like terms. This results in x^2 + x + 8x  12 = 2x^2  3x + 2x  3.

Rearrange the equation to bring all terms to one side, setting it equal to zero. This gives us 0 = 2x^2  x^2 + 8x + 3x  2x + 3 + 12.

Combine like terms and simplify further. This results in 0 = x^2 + 9x + 15.

To solve the quadratic equation, we can either factor it or use the quadratic formula. In this case, the equation cannot be factored easily, so we will use the quadratic formula.

Apply the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by x = (b ± √(b^2  4ac)) / (2a). In our equation, a = 1, b = 9, and c = 15.

Substitute the values into the quadratic formula and simplify. This gives us x = (9 ± √(9^2  4(1)(15))) / (2(1)).

Continue simplifying the equation. This results in x = (9 ± √(81  60)) / 2.

Further simplify the equation. This gives us x = (9 ± √21) / 2.
Therefore, the solutions to the equation x/(2x3) + 4/(x+1) = 1 are x = (9 + √21) / 2 and x = (9  √21) / 2.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7