Question

Решить уравнение x^3:2=32

Answer 1

x³:2=32

x³=64

x=4

Ответ: 4

Answer 2

To solve the equation x^(3/2) = 32, you can follow these steps:

Step 1: Cube both sides of the equation to eliminate the fractional exponent (3/2).

(x^(3/2))^3 = 32^3

Step 2: Simplify the left side by multiplying the exponents.

x^((3/2)*3) = 32768

Step 3: Compute the exponent on the left side.

x^(9/2) = 32768

Step 4: To isolate x, take the square root of both sides, since the exponent is 9/2.

√(x^(9/2)) = √32768

Step 5: Simplify both sides of the equation.

x^(9/4) = 64

Step 6: Now, cube root both sides to eliminate the fractional exponent (9/4).

(x^(9/4))^(4/9) = 64^(4/9)

Step 7: Simplify the left side by multiplying the exponents.

x^(1) = 8

So, the solution to the equation is:

x = 8