Question

Enter the correct value so that each expression is a perfect square trinomial

Answer 1

it's 1/16 you're welcome!

Explanation:

Answer 2

Explanation:

1). x² - 10x + a²

By using the formula of (a - b)² = a² - 2ab + b²

x² - 2(5)x + a²

Therefore, for a perfect square of the expression a should be equal to 5.

Therefore, (x² - 10x + 25) will be the answer.

2). x² + 2ax + 36

= x² + 2(a)x + 6²

For a perfect square of the given expression value of a should be 6.

x² + 2(a)x + 6² = x² + 2(6)x + 6²

= (x + 6)²

Therefore, x² + 12x + 36 will be the answer.

3).
`x^(2)+(1)/(2)x+a^2`

`x^(2)+2((1)/(4))x+a^2`

To make this expression a perfect square,

a² =
`((1)/(4))^2`

`x^(2)+2((1)/(4))x+((1)/(4))^2` =
`(x+(1)/(4))^2`

Therefore, the missing number will be
`(1)/(16)`.