Respuesta :

Answer:

First blank: 1/4

Second blank: 2/3

Step-by-step explanation:

[tex](x+\frac{1}{4})^2=\frac{4}{9}[/tex]

Applying the square root of both sides gives:

[tex](x+\frac{1}{4})=\pm \sqrt{\frac{4}{9}}[/tex]

[tex]x+\frac{1}{4}=\pm \frac{\sqrt{4}}{\sqrt{9}}[/tex]

[tex]x+\frac{1}{4}=\pm \frac{2}{3}[/tex]

varshamittal029

The blanks are 1/4 and 2/3.

What is the square root property of equality?

When we take the square root on both sides of the equation, then the whole square term becomes its square root, but the constant term on the other side has a ± sign as the square root of n can be -√n as well as √n, because the square of a negative number is also a positive number.

The solution to the problem

So the given equation is (x+1/4)² = 4/9

Taking square root on both sides we get

(x+1/4) = ±2/3 using the square root property of equality.

Hence the blanks are 1/4 and 2/3 of the given question.

Learn more about the property of equality here

https://brainly.com/question/11225212

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