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
kogti [31]
3 years ago
6

What method would you choose to solve the equation 2x^2-7=9

Mathematics
1 answer:
Margaret [11]3 years ago
3 0
Here is one way to solve for x.

Step 1)  2x^2-7=9

Step 2)  2x^2-7+7=9+7

Step 3)  2x^2=16

Step 4)  (2x^2)/2=16/2

Step 5)  x^2=8

Step 6)  sqrt(x^2)=sqrt(8)

Step 7)  |x|=sqrt(8)

Step 8)  x=sqrt(8) or x=-sqrt(8)

-------------------------------------

Below are explanations/reasons to each of the steps above.

Step 1) Original equation

Step 2) Add 7 to both sides

Step 3) Combine like terms

Step 4) Divide both sides by 2

Step 5) Simplify

Step 6) Apply the square root to both sides. The notation "sqrt" is shorthand for "square root"

Step 7) Use the rule that sqrt(x^2) = |x| for all real numbers x

Step 8) Use the rule that if |x| = k then x = k or x = -k for some fixed number k.

-------------------------------------

The two solutions are
x = sqrt(8) or x = -sqrt(8)

You might be interested in
Which expression is equivalent to (125^2/125^4/3)
raketka [301]
He answer is d which is 25
3 0
3 years ago
Read 2 more answers
Y’all i need help on the last one
stira [4]

Answer:

Step-by-step explanation:

Kindly share the exact question

5 0
2 years ago
Read 2 more answers
PLES ANSWER FAST! I THIS IS DUE IN 5 MINUTES
babunello [35]

Answer:

The answer is 12ac^14/b^3

7 0
2 years ago
Read 2 more answers
The sequence -1, 1, -1, 1 and so on is
S_A_V [24]

Answer:

-1 is the next one ithink

6 0
2 years ago
How to work out 215 in a fraction
ohaa [14]
\frac{215}{215}
5 0
3 years ago
Other questions:
  • Which steps can be taken to translate the phrase “the height of a tree is increased by seven inches” into an algebraic expressio
    9·2 answers
  • Can anyone help me on this. I will thank u guys if anyone can help me on this
    11·1 answer
  • Evaluate the function at x = -2.
    12·1 answer
  • Choose the abbreviation of the postulate or theorem that supports the conclusion that WAS NOT. Given: W = N, S = T, WA = NO.
    7·2 answers
  • Rasheed is paid by the hour. He earn $50 for four hour workday. How much does he earn for 5 1/2 hour
    15·1 answer
  • What are the next six numbers in the sequence 1 9 17 25 33
    9·2 answers
  • Still struggling with this.
    14·1 answer
  • Check for understanding:
    13·1 answer
  • 49. 5 is what percent of 33?
    12·2 answers
  • A prism has a volume of 225 cubic meters.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!