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
harkovskaia [24]
3 years ago
11

Solve algebraically for x: 2(x – 4) 2 + 10 = 30

Mathematics
1 answer:
forsale [732]3 years ago
4 0

Answer:

x=4 or x=2

Step-by-step explanation:

When given the following equation,

2(x-4)^2+10=30

One must follow the order of operations to solve the equation and get a valid result. The order of operations states the following,

1. Parenthesis

2. Exponents

3. Multiplication/ Division

4. Addition/ Subtraction.

Normally, one would combine the terms in the parenthesis, but since they are unlike terms, one will have to undo the exponents first. Expand the binomial.

2(x-4)^2 + 10 = 30\\\\2(x^2-8x+16)+10=30

Now distribute, multiply every term inside the parenthesis by the term outside,

2(x^2-8x+16)+10=30\\\\2(x^2)+2(-8)x+2(16) + 10 = 30

Simplify,

2(x^2)+2(-8x)+2(16)+10=30

2x^2 -16x +32 +10 = 30

2x^2 -16x +42=30

Inverse operations,

2x^2 -16x + 42 = 30\\-30\\\\2x^2 - 16x + 12= 0

To simplify the equation, divide all terms by (2).

x^2 - 8x +6=0

Factor, rewrite the quadratic equation as a product of linear equations,

(x-4)(x-2)=0

Solve using the zero product property. The zero product property states that any number times zero equals zero,

(x-4)(x-2)=0\\\\x=4,x=2

You might be interested in
X=20 is the solution to 4=x-16
Oksanka [162]

Answer:

True

Step-by-step explanation:

So let's put this question into one equation.

x - 16 = 4 if x = 20

Well, this is a true statement. If we were to replace x with 20. We would see that the equation makes sense.

20 - 16 = 4

20 minus 16 does indeed equal 4.

4 0
3 years ago
Can you please help me fast
marishachu [46]

Answer:

126 degrees

Step-by-step explanation:

Angle 4 is supplemnetary to angle 3..which means both of their angles add up to 180 degrees

We can take the angle of 3 whihc is 54 degrees and subtract that from 180 to determine angle 4:

180 - 54 = 126

Angle 4 is 126 degrees

8 0
3 years ago
Evaluate the expression when c = 5 and d = 8 <br> d + 6c
solmaris [256]

Answer:

38

Step-by-step explanation:

6 times 5 =30

d=8

30+8-38

5 0
3 years ago
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
amid [387]

Answer:

314.96in

Step-by-step explanation:

7 0
3 years ago
What is the radius of 9.5in
fredd [130]
I'm not sure you are asking the right question? it tells you what the radius is right there. What is the question asking
8 0
3 years ago
Read 2 more answers
Other questions:
  • Given the polynomial 6x3 + 4x2 − 6x − 4, what is the value of the constant 'k' in the factored form? 6x3 + 4x2 − 6x − 4 = 2(x +
    15·2 answers
  • Water evaporates at a rate of 1.5 ounces per day from a container that holds 34 ounces when . What is an expression that represe
    13·1 answer
  • On what date did the 16th century begin?
    6·1 answer
  • Divide: 21 and 4,291,678
    8·2 answers
  • Graph the solution of this inequality: 4/9 x- 10 &gt; x/3-12
    6·1 answer
  • Will mark brainliest! Determine whether the rectangles are similar. If so, write the similarity
    8·1 answer
  • What is the solution to the equation 5x=6?
    11·2 answers
  • Pls someone help me.
    15·1 answer
  • 5. MOUNTAIN BIKING On a mountain bike trip along the Gemini Bridges Trail in Moab, Utah, Nabuko stopped on the
    14·1 answer
  • Please solve this: <br><br><br> (Will give brainliest)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!