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Sauron [17]
2 years ago
14

What are the values of x in the equation x2 – 6x + 9 = 25? x = –2 or x = 8 x = –1 or x = –11 x = 1 or x = 11 x = 2 or x = –8

Mathematics
2 answers:
beks73 [17]2 years ago
8 0

Answer:

x = 8 or x = -2

Step-by-step explanation:

x^2 - 6x + 9 = 25

x^2 - 6x - 16 = 0

The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a

with a = 1

b = -6

c = -16

substitute in the formula

x = [-(-6) +/- √(-6^2 - 4(1)(-16))]/2(1)

x = [6 +/- √(36 + 64)]/2

x = [6 +/- √10]/2

x = [6 +/- 10]/2

x1 = [6 + 10]/2 = 16/2 = 8

x2 = [6 - 10]/2 = -4/2 = -2

ipn [44]2 years ago
6 0

Answer:

x = 8,-2

Step-by-step explanation:

First, complete the square on LHS (Left-Handed Side).

\displaystyle \large{x^2-6x+9=(x-3)^2}

Make sure to recall the perfect square formula. Rewrite another equation with (x-3)² instead.

\displaystyle \large{(x-3)^2 = 25}

Square both sides of equation.

\displaystyle \large{\sqrt{(x-3)^2}=\sqrt{25}}

Because x² = (-x)² which means that it’s possible for x to be negative. Thus, write plus-minus beside √25 and cancel square of LHS.

\displaystyle \large{x-3=\pm \sqrt{25}}\\
\displaystyle \large{x-3=\pm 5}\\
\displaystyle \large{x=\pm 5+3}

Therefore, x = 5+3 or x = -5+3

Thus, x = 8,-2

The method above is called completing the square method.

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The ice cream man just ended his shift for the day. Let 1/2x^2 6/11x + 8 represent the amount of chocolate ice cream bars he sol
saveliy_v [14]

Answer:

A and D

Step-by-step explanation:

Total ice cream bars sold = sum of chocolate sold , vanilla and strawberry ice-creams sold.

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Difference in chocolate and strawberry bars =[ (1/2)x2 + (6/11)x + 8] - [(1/3)x2 + 4x +(4/3)]

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4 0
3 years ago
What is the answer to this question?
katen-ka-za [31]

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10 in., 18.5 in., 31.5 in.

Step-by-step explanation:

Ask me if you need step-by-step, since the problem seems to be multiple choice.

8 0
3 years ago
Peter inherits 15.000 dollars and place money with a bank. The interest rate are 3 percent. How many money will he get after 1ye
NeTakaya
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where A = the total amount of money at the end, P = the principal (or amount of money you started with), r = the rate in percent, and t = the time in years.

In this case, P = 15000, r = 0.03 (because 3% in decimal form is 0.03), and t = 1:

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5 0
3 years ago
Jackie drinks a bottle of water and a bottle of orange juice every morning.
igomit [66]

Answer: <u>B, about 280 ounces</u>

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B is the closest and is rounding both numbers up.

C is false because you don't multiply by 10, you multiply by 7 because of the 7 days in a week.

D is false for the same reason as C.

4 0
2 years ago
Read 2 more answers
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