Step-by-step explanation: In a triangle you have two parts, a hypotenuse and 2 legs. The legs are adjacent, or opposite, to the right angle. The hypotenuse is actually the right angle itself.

3 0

3 years ago

*ANSWER FAST* x-1/x-2 + x-3/x-4 = 3 1/3 [x≠2 , x≠4] find

Natali5045456 [20]

Answer:

x = 5, x = $\frac{5}{2}$

Step-by-step explanation:

Given

$\frac{x-1}{x-2}$ + $\frac{x-3}{x-4}$ = 3 $\frac{1}{3}$

$\frac{(x-1)(x-4)+(x-3)(x-2)}{(x-2)(x-4)}$ = $\frac{10}{3}$

$\frac{x^2-5x+4+x^2-5x+6}{x^2-6x+8}$ = $\frac{10}{3}$

$\frac{2x^2-10x+10}{x^2-6x+8}$ = $\frac{10}{3}$ ( cross- multiply )

10(x² - 6x + 8) = 3(2x² - 10x + 10) ← distribute both sides

10x² - 60x + 80 = 6x² - 30x + 30 ← subtract 6x² - 30x + 30 from both sides

4x² - 30x + 50 = 0 ( divide through by 2 )

2x² - 15x + 25 = 0 ← in standard form

(2x - 5)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

2x - 5 = 0 ⇒ 2x = 5 ⇒ x = $\frac{5}{2}$

x - 5 = 0 ⇒ x = 5

7 0

3 years ago

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