Question

Помогите плиз
$\frac{5x + 3}{x + 5} = \frac{3x + 1}{x + 2}$

Answer 1

Ответ:

x1=0,5;x2=1

Объяснение:

(X+5)(3x+1)=(5x+3)(X+2)

3x^2+X+15x+5=5x^2+10x+3x+6

5x^2-3x^2+13x-16x+6-5=0

2x^2-3x+1=0

D=1

x1=3-1/4=0,5

X2=4/4=1

Answer 2

$\frac{5x + 3}{x + 5} = \frac{3x + 1}{x + 2}$

$(5x + 3)(x + 2) = (x + 5)(3x + 1)$

$5 {x}^{2} + 10x + 3x + 6 = 3 {x}^{2} + x + 15x + 5$

$5 {x}^{2} - 3 {x}^{2} + 13x - 16x + 6 - 5 = 0$

$2 {x}^{2} - 3x + 1 = 0$

$a = 2 \: \: \: b = - 3 \: \: \: c = 1$

$D = {( - 3)}^{2} - 4 \times 2 \times 1 = 9 - 8 = 1$

$\sqrt{D} = \sqrt{1} = 1$

$x1 = \frac{3 + 1}{2 \times 2} = 1 \\ x2 = \frac{3 - 1}{2 \times 2} = 0.5$

Відповідь: 1; 0,5.