Question

X/(x-3)-(x+7)/(x+4)=21/((x-3)*(x+4))

Answer 1

На фото.............. .......

Answer 2

(х+4)х-(х-3)(х+7) = х²+4х-х²-7х +3х+21 = 21. ... Упростите выражение (x+4)x-( x-3)(x+7). Попроси больше объяснений ...

Answer 3

To solve the given equation for x, follow these steps:

Step 1: Find a common denominator for both fractions on the left side of the equation. The common denominator will be (x - 3)(x + 4).

Step 2: Rewrite each fraction with the common denominator.

Step 3: Combine the fractions on the left side of the equation.

Step 4: Solve for x.

Let's go through the steps one by one:

Step 1: Find a common denominator. The common denominator is (x - 3)(x + 4).

Step 2: Rewrite each fraction with the common denominator. (x / (x - 3)) - ((x + 7) / (x + 4)) = 21 / ((x - 3)(x + 4))

Step 3: Combine the fractions on the left side of the equation. To do this, we need to get rid of the denominators by multiplying both sides of the equation by (x - 3)(x + 4).

(x - 3)(x + 4) * (x / (x - 3)) - (x - 3)(x + 4) * ((x + 7) / (x + 4)) = (x - 3)(x + 4) * (21 / ((x - 3)(x + 4)))

Now, we can cancel out the denominators:

x(x + 4) - (x - 3)(x + 7) = 21

Step 4: Solve for x. Expand the expressions on the left side:

x^2 + 4x - (x^2 + 7x - 3x - 21) = 21

Simplify the expression:

x^2 + 4x - x^2 - 7x + 3x + 21 = 21

Combine like terms:

4x - 4x + 21 = 21

Now, we have:

21 = 21

Since both sides of the equation are equal, the equation has infinitely many solutions. In other words, any value of x will satisfy the original equation. Therefore, the solution to the equation is:

x can be any real number except x ≠ 3 and x ≠ -4 (to avoid division by zero).