Question

Which numbers square is same as its half

Answer 1

Step-by-step explanation:

${x}^{2} = x \div 2 \\ = > {x}^{2} - (x \div 2) = 0 \\ = > x(x - 1 \div 2) = 0 \\ = > x = 0 \: \: or \: \: x = 1 \div 2$

Here you go budd. Best of luck

Answer 2

Answer:

The number is either 0 or (1/2)

Step-by-step explanation:

Let the number be x

Thus, according to the Question,

x² = (1/2)x

2x² = x

2x² - x = 0

Taking x common we get,

x(2x - 1) = 0

Thus,

x = 0 or (2x - 1) = 0

∴ x = 0 or x = (1/2)

Hence,

x = 0 or x = (1/2)

We can also check this,

x = 0

Now,

x² = (1/2)x

0² = (1/2)(0)

0 = 0 (True)

When x = (1/2)

x² = (1/2)x

(1/2)² = (1/2)(1/2)

(1/4) = (1/4) (True)

Thus, both are correct.

Hope it helped and you understood it........All the best