1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
50 Points - Use the function f(x) to answer the questions:
faust18 [17]

f(x) = 2x^2 - x - 10

Part A:

x-intercepts: (-2,0), (5/2,0)

Part B:

The vertex is the minimum

vertex: (1/4, -81/8)

Part C:

A:

x: -2, -1, 1/4, 1, 2

y: 0, -7, -81/8, -9, -4

B:

3 0
3 years ago
A 20 foot ladder is resting against the side of the house the base of the latter is 4 feet away from the house approximately how
notka56 [123]

The ladder resting against the house forms a triangle similar to the one in the image below

To answer this question you must use Pythagorean theorem

a^{2} +b^{2}=c^{2}

a and b are the legs (the sides that form a perpendicular/right angle)

c is the hypotenuse (the side opposite the right angle)

In this case...

a = x

b = 4

c = 20

^^^Plug these numbers into the theorem

x^{2} +4^{2} =20^{2}

solve for x

x^{2} + 16 = 400

x^{2} = 384

x = 8√6

or

x ≈ 19.5959....

Hope this helped!

~Just a girl in love with Shawn Mendes

5 0
3 years ago
How to plot (3,-3) on a graph?
netineya [11]
They y-axis represents the -3 now all that you need to do is line it up to -3 and 3 in the graph
7 0
3 years ago
Read 2 more answers
A four-sided figure is resized to create a scaled copy. The lengths of its four
sp2606 [1]

Answer:

trust your instincts

Step-by-step explanation:

i will not let you decide your destiny on your own

7 0
3 years ago
Sla square field has an area of 12,382m², calculate it's side length. show your work​
shepuryov [24]

Answer:

side = 111.274........

Explanation:

area of square = side × side

means we're finding area by finding square of side.

now, we're finding side. so, we'll do the opposite of square, which means square root.

side  =  \sqrt{area}

so,

side  =  \sqrt{12382}

side = 111.274........

please mark BRAINLIEST!

3 0
2 years ago
Other questions:
  • If 2 lemons cost 15 cents, how many can be bought with 60 cents
    15·2 answers
  • 4x-y=18 6x+4y=38 me ajudem
    14·1 answer
  • An engineer is building a suspended platform to raise bags of cement. The platform has a mass of 200 kg, and each bag of cement
    14·1 answer
  • Heeeeeeeeellpp<br><br><br> what is the measure of xwz
    14·1 answer
  • When an alligator is born it is about 8 inches long. each year they grow about 12 inches.how old is an alligator is that is 116
    9·1 answer
  • Solve the system of equations:
    7·2 answers
  • Look at this set of 9 numbers:
    14·2 answers
  • A coaster to put under your drinks on a table is in the shape of a cylinder. It has a diameter
    5·1 answer
  • What is the area of this triangle?
    7·1 answer
  • ms.vellejo has these cans of soup in her cabinet 1 can of tomato soup 4 cans of chicken soup 3 cans of cheese soup 2 cans of bee
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!