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
Minchanka [31]
3 years ago
6

Find the exact solution of the following quadratic equation by using the Quadratic Formula. x^2-9x=36

Mathematics
1 answer:
natita [175]3 years ago
4 0

Answer:

x = 12 or x = -3

Step-by-step explanation:

Solve for x over the real numbers:

x^2 - 9 x = 36

Subtract 36 from both sides:

x^2 - 9 x - 36 = 0

x = (9 ± sqrt((-9)^2 - 4 (-36)))/2 = (9 ± sqrt(81 + 144))/2 = (9 ± sqrt(225))/2:

x = (9 + sqrt(225))/2 or x = (9 - sqrt(225))/2

sqrt(225) = sqrt(9×25) = sqrt(3^2×5^2) = 3×5 = 15:

x = (9 + 15)/2 or x = (9 - 15)/2

(9 + 15)/2 = 24/2 = 12:

x = 12 or x = (9 - 15)/2

(9 - 15)/2 = -6/2 = -3:

Answer:  x = 12 or x = -3

You might be interested in
Determine which method would be more efficient for solving: Rewriting and using the distributive property or dividing. Solve eac
liq [111]

Answer:

A.  x = 3.03

B.  x = 4/3

Step-by-step explanation:

A.  2000 (x-0.03) = 6000 is quickly simplified byu dividing both sides by 2000:

(x - 0.03) = 3.  Removing the parentheses, we get:  x = -0.03 = 3, or x = 3.03.

B.  The distributive property is the faster method here.  We determine that the LCD is 12 and multiply both sides of this equation 1/4 (4+x) = 4/3 by 12:

3(4 + x) = 16

and then carry out the indicated multiplication:  12 + 3x = 16, or

3x = 4, or x = 4/3

7 0
2 years ago
What is the absolute value of a number ?
stepladder [879]

Answer:

Step-by-step explanation:

The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line.

7 0
2 years ago
Read 2 more answers
19. Find the value of X (In the picture) (giving points to best answer/brainlest)​
Tema [17]

Answer:

x = 61 degrees

Step-by-step explanation:

The triangle on the right is isosceles and the base angles are congruent

the sum of the inner angles of a triangle is 180 degrees

2 * 74 + y = 180

148 + y = 180

y = 32 degrees

the total angle is 90 degrees

so we have that

90 - 32 = 58 degrees

Also the left triangle is isosceles, so we have

2x + 58 = 180

2x = 122

x = 61 degrees

7 0
3 years ago
What is the perimeter of a rhombus whose diagonals measure 42cm and 56cm?
Trava [24]

Answer:

676

Step-by-step explanation:

d1×d2/2

42×56/2

1352/2=676

please check it by doing again

3 0
3 years ago
Read 2 more answers
I need help with this problem!!! It’s confusing me so much and I need it by tomorrow!please tell me the answer and how you got i
ExtremeBDS [4]
I think its 3 - (0,10, 42)

if you put in the values of the given x, then these are the resulting y values.
8 0
3 years ago
Other questions:
  • 5
    11·2 answers
  • Your cellphone plan gives you 500 minutes monthly. If you have used 310 minutes already and there is a week left this month, how
    12·2 answers
  • What is the area of the parallelogram shown?<br> 8m2<br> 12m2
    10·1 answer
  • The Chang family bought 4 crates of eggs last week. Each crate had 18 eggs. Since then, they have eaten 19 of the eggs. How many
    14·1 answer
  • What is the answer to this
    5·1 answer
  • PLEASE HELP ME ASAP I AM STUCK !!!!!!!!!!!Witch of the following are solutions to the equation below 5x^2-2x+16=4x^2+6x
    8·1 answer
  • What fraction of £3.00 is 50p
    12·2 answers
  • Please help i will give Brainiest (select all that describes the scatterplot)
    15·1 answer
  • Find the area of each figure. Round to the hundredths where necessary.
    12·2 answers
  • A supervisor finds the mean number of miles that the employees in a department live from work. he finds x overbar = 29 and s = 3
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!