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
mezya [45]
3 years ago
9

Which equation has the same solution as this equation?

Mathematics
1 answer:
lesya [120]3 years ago
8 0

Answer:

3rd Option is correct.

Step-by-step explanation:

Given Equation:

x² - 16x + 12 = 0

First We need to find solution of the given equation.

x² - 16x + 12 = 0

here, a = 1   , b = -16  &  c = 12

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-(-16)\pm\sqrt{(-16)^2-4(12)}}{2}

x=\frac{16\pm\sqrt{256-48}}{2}

x=\frac{16\pm\sqrt{208}}{2}

x=\frac{16\pm4\sqrt{13}}{2}

x=8+2\sqrt{13}\:\:andx=8-2\sqrt{13}

Now,

Option 1).

( x - 8 )² = 144

x - 8 = ±√144

x - 8 = ±12

x = 8 + 12 = 20   and x = 8 - 12 = -4

Thus, This is not correct Option.

Option 2).

( x - 4 )² = 4

x - 4 = ±√4

x - 4 = ±2

x = 4 + 2 = 6   and x = 4 - 2 = 2

Thus, This is not correct Option.

Option 3).

( x - 8 )² = 52

x - 8 = ±√52

x - 8 = ±2√13

x  = 8 + 2√13   and x = 8 - 2√13

Thus, This is correct Option.

Option 4).

( x - 4 )² = 16

x - 4 = ±√116

x - 4 = ±4

x = 4 + 4 = 8  and x = 4 - 4 = 0

Thus, This is not correct Option.

Therefore, 3rd Option is correct.

You might be interested in
Q # 11 please help to resolve
Fofino [41]
It is the fourth choice - 1/4.

There are five odd number out of the ten number they are choosing from.
The probability that Jason will choose an odd number is  5/10 = 1/2
The probability that Kyle will choose an odd number is 5/10 = 1/2
Multiply the two probabilities to get the probability of them choosing odd numbers.
   1/2 * 1/2 = 1/4
3 0
3 years ago
Read 2 more answers
Nathan is 3 years older than Olivia. Determine the equation if n represents the age of Nathan and o represents the age of Olivia
Arte-miy333 [17]

Answer: A, n=o+3

Step-by-step explanation:

Nathan (n) is 3 years older than Olivia (o) so Nathan's age would equal Olivia's age plus 3 years.

Hope this helps :)

6 0
2 years ago
Read 2 more answers
Answer the question ​
guajiro [1.7K]

what is the questionswjjbdbfnjr

6 0
3 years ago
Kiwi and Corn got into an argument over if 1.75 was a reasonable estimate for 6. Do you think 1.75 was a reasonable estimate for
snow_tiger [21]

Answer:

No, it is not.

Step-by-step explanation:

comparing the two given values, 1.75 and 6, estimating 1.75 for 6 is not reasonable. This is due to the fact that converting 1.75 to the nearest whole number gives 2 which is far away from 6. Since,

   6 - 2 = 4

So, estimating 1.75 for 6 would involve a large value of error. Which make it unreasonable. It would have been more reasonable to estimate 1.75 for 2.

4 0
3 years ago
Chrome - eAssessment - Assignment
vodomira [7]

Answer:

rounding to the nearest tenth

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • What the vertex and AOS if the equation is y=(x-2)^2-2
    7·1 answer
  • Miguel had 63 lemons to make lemonade at his stand. He used some lemons to make lemonade. Now he has 25 lemons. How many lemons
    10·1 answer
  • Add. (5)/(c-5)+(9)/(c-5)
    12·2 answers
  • You want to rent movies online. The new service charges a sign up fee of
    7·2 answers
  • 12 inches to millimeters
    13·2 answers
  • Which of the following expressions is the inverse of the function y = 3x + 4?
    12·1 answer
  • Expand and simplify 2(p + 2q – 3).
    13·1 answer
  • Simplify: 4(x + 3) + 6x<br><br><br> besties please help me
    12·2 answers
  • (3/2)^(-2).......................................................................
    8·2 answers
  • You need the weight of your dog. On a scale together you both way total of 134 lb after putting the dog down your weight is 105
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!