Which of the following are solutions to the equation below?

Mathematics

2 answers:

Andru [333]3 years ago

7 0

Answer:

$\large\boxed{\sf \ \ x = 3+\sqrt{11} \ \ or \ \ x = 3-\sqrt{11} \ \ }$

Step-by-step explanation:

Hello,

$x^2-6x+9=11\\ x^2-2*3*x+3^2=11\\(x-3)^2=11\\ x-3=\sqrt{11} \ or \ x-3=-\sqrt{11}\\ x = 3+\sqrt{11} \ or \ x = 3-\sqrt{11}$

Do not hesitate if you have any question

Hope this helps

barxatty [35]3 years ago

5 0

Answer:

x = 3 ± sqrt(11)

Step-by-step explanation:

x^2 - 6x + 9 = 11

Recognizing that this is a perfect square trinomial

(x-3) ^2 =11

Taking the square root of each side

sqrt((x-3) ^2) = ± sqrt(11)

x-3 =± sqrt(11)

Add 3 to each side

x = 3 ± sqrt(11)

You might be interested in

X+12=7 x= needing help with this

sergiy2304 [10]

Answer:

x=−5

Step-by-step explanation:

x+12=7

Step 1: Subtract 12 from both sides.

x+12−12=7−12

x=−5

3 0

3 years ago

Read 2 more answers

URGENT!! Offering 50 Points

harkovskaia [24]

Answer:

B. x ≈ 13/8

Step-by-step explanation:

We assume that one iteration consists of determining the midpoint of the interval known to contain the root.

The graph shows the functions intersect between x=1 and x=2, hence our first guess is x = 3/2.

Evaluation of the difference between the left side expression and the right side expression for x = 3/2 shows that difference to be negative, so we can narrow the interval to (3/2, 2). Our 2nd guess is the midpoint of this interval, so is x = 7/4.

Evaluation of the difference between the left side expression and the right side expression for x = 3/4 shows that difference to be positive, so we can narrow the interval to (3/2, 7/4). Our 3rd guess is the midpoint of this interval, so is x = 13/8.

_____

The sign of the difference at this value of x is still negative, so the next guess would be 27/16. It is a little hard to tell what the question means by "3 iterations." Evaluating the function for x=13/8 will be the third evaluation, so the determination that x=27/16 will be the next guess might be considered to be the result of the 3rd iteration.