Question

Help pls :) solve x+4/3 = 3/x-4

Answer 1

Answer:

x= 5 or x= -5

Step-by-step explanation:

$\frac{x + 4}{3} = \frac{3}{x - 4}$

Cross multiply:

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

Expand:

$\boxed{a {}^{2} - {b}^{2} = (a + b)(a - b)}$

x² -4²= 9

x² -16= 9

+16 on both sides:

x²= 9 +16

x²= 25

Square root both sides:

$x = ± \sqrt{25}$

x= 5 or x= -5

Answer 2

Given that:

[(x+4)/3] = [3/(x-4)]

We know that

(a/b) = (c/d)

⇛a(d) = b(c)

Now,

By using cross multiplying fraction, we get

⇛x+4(x-4) = 3(3)

⇛x(x-4) + 4(x-4) = 9

⇛x² - 4x + 4x - 16 = 9

⇛x² - 0 -16 = 9

⇛x² = 9+16

⇛x² = 25

⇛x = √(25)

⇛x = ±√(5*5)

⇛x = ±5 = +5 or -5 Ans.

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