Type the correct answer in each box. use numerals instead of words.
consider the given quadratic equation.

in order to solve by completing the square, what number should be added to both sides of the equation?

how many of the solutions to the equation are positive?

what is the approximate value of the greatest solution to the equation, rounded to the nearest hundredth?

(a) 1

(b) 1

(c) 3.03

Step-by-step explanation:

The given quadratic equation is

Subtract 27 from both sides.

Taking out common factor.

Divide both sides by 4.

If an expression is , then we need to add , to make it perfect square.

Here, b=2, so

Add 1 on both sides.

Taking square root on both sides.

Subtract 1 from both sides.

and

and

Only one solution is positive.

Greatest solution is 3.031, therefore the approximate value of this solution is 3.03.

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

substitute the values

the measure of angle xoy is equal to

> by central angle

substitute the value