Question

1. Решите уравнения: 215х=1720; у:125=9; 416:х+24=50; 2.Угадайте корень уравнения и выполните проверку х*х*х=8

Answer 1

1. 215x=1720
x=1720:215
x=8

y:125=9
y=125*9
y=1125

416:x+24=50
416:x=50-24
416:x=26
x=416:26
x=16

2. x=2
2*2*2=8


очень просто

Answer 2

1. 215х = 1 720
х = 1 720 ÷ 215
х = 8;
_________

у ÷ 125 = 9
у = 125 × 9
у = 1 125;
_________

416 ÷ х + 24 = 50
416 ÷ х = 50 - 24
416 ÷ х = 26
х = 416 ÷ 26
х = 16.

2. х × х × х = 8.

Мы видим, что есть три х, значит их можно возвести в степень или, угадать корень. Угадываем:

1 - не подходит, 2..... 2 - попробуем) 3 - перебор, ибо 8 ÷ 3 только с остатком:

2³ = 2 × 2 × 2 = 8.

Проверка:

х × х × х = 8 = 2 × 2 × 2 = 4 × 2 = 8.

Корень уравнения равен 2.

Ответ: х = 2.

Answer 3

1. Решение уравнений:

a) 215х = 1720

To solve this equation, we need to isolate the variable x. We can do this by dividing both sides of the equation by 215:

215x = 1720 x = 1720 / 215

Simplifying the right side of the equation:

x = 8

Therefore, the solution to the equation 215x = 1720 is x = 8.

b) у:125 = 9

To solve this equation, we need to isolate the variable у. We can do this by multiplying both sides of the equation by 125:

у:125 * 125 = 9 * 125 у = 1125

Therefore, the solution to the equation у:125 = 9 is у = 1125.

c) 416:х + 24 = 50

To solve this equation, we need to isolate the variable x. We can do this by subtracting 24 from both sides of the equation and then multiplying both sides by x:

416:х + 24 - 24 = 50 - 24 416:х = 26

To solve for x, we can multiply both sides of the equation by x and then divide both sides by 26:

(416:х) * x = 26 * x 416 = 26x 416/26 = x

Simplifying the right side of the equation:

x = 16

Therefore, the solution to the equation 416:х + 24 = 50 is x = 16.

2. Угадайте корень уравнения и выполните проверку х*х*х = 8:

To find the root of the equation х*х*х = 8, we need to find the value of x that satisfies the equation.

By taking the cube root of both sides of the equation, we can find the value of x:

∛(х*х*х) = ∛8 x = 2

To verify if x = 2 is the correct root, we can substitute it back into the equation:

2*2*2 = 8

The left side of the equation equals the right side, so x = 2 is indeed the correct root.

Therefore, the root of the equation х*х*х = 8 is x = 2.