Question

1. А)√x=9 б)√x=1/2 в)√x=0

Answer 1

А) √x=9
х=81
б)√x=1/2
х=1/4
в)√x=0
х=0

Answer 2

√81 = 9 (9²=81, 9 > 0)
√1/4 = 1/2 ((1/2)² = 1/4, 1/2 > 0)
√0 = 0 (0²= 0, 0 = 0)
Квадратным корнем из числа "а" (к примеру 81)  называют число, квадрат которого равен а (9).

Answer 3

To solve each of the given equations for x, follow these steps:

а) √x = 9

To solve for x, square both sides of the equation to eliminate the square root:

(√x)^2 = 9^2 x = 81

So the solution for equation (а) is x = 81.

б) √x = 1/2

To solve for x, square both sides of the equation:

(√x)^2 = (1/2)^2 x = 1/4

So the solution for equation (б) is x = 1/4.

в) √x = 0

To solve for x, square both sides of the equation:

(√x)^2 = 0^2 x = 0

So the solution for equation (в) is x = 0.

To validate these solutions, you can substitute the values of x back into the original equations to ensure they satisfy the equations. For equations (а) and (б), when you take the square root of the solutions, you should get 9 and 1/2 respectively, confirming their validity. For equation (в), when you take the square root of 0, you get 0, which also confirms its validity.