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
Sedaia [141]
2 years ago
10

What are the roots of this quadratic equation?-10x^2+12x-9=0

Mathematics
1 answer:
Ugo [173]2 years ago
7 0

Answer:

Step-by-step explanation:

-10x² + 12x - 9 = 0

Multiply the whole equation by (-1)

10x² - 12x + 9 = 0

a = 10  ; b = -12 ; c = 9

D = b² - 4ac = (-12)² - 4*10*9

   = 144 - 360

    = -216

√D = √-216 = \sqrt{2*2 * 3 * 3 * 2 *3 * i^{2}}

       = 2*3*i*\sqrt{3*2}\\\\= 6i \sqrt{6}

Roots = \frac{-b + \sqrt{D}}{2a} ; \frac{-b-\sqrt{D}}{2a}

          = \dfrac{-[-12]+6i\sqrt{6}}{2*10} \ ; \  \dfrac{-[-12] - 6i\sqrt{6}}{2*10}\\\\= \dfrac{12+6i\sqrt{6}}{20} ; \ \dfrac{12-6i\sqrt{6}}{20}\\\\\\= \dfrac{2*(6+3i\sqrt{6}}{20} ; \ \dfrac{2*(6-3i\sqrt{6}}{20}\\\\=\dfrac{6+3i\sqrt{6}}{10} ; \dfrac{6-3i\sqrt{6}}{10}

You might be interested in
A line has a slope of -3 and y-intercept of 2.
Pie

AnswA line can be written in the form y = mx + b where m is the slope and b is the y intercept.

Since the slope is given as 4, the equation will be y = 4x + b

Plugging in the point (2,1) to the equation we get 1 = 4(2) + b or 1 = b + 8

Solving for b gives b = -7 so the equation will be y = 4x - 7er:

Step-by-step explanation:

5 0
2 years ago
Please help me with this one
Nesterboy [21]

Answer:

240

Step-by-step explanation:

well do *

so 8x6x5 = 240 there's your answer

3 0
3 years ago
Read 2 more answers
Tony has $727.29 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $248.50 today. Wr
aleksley [76]
727.29 + 248.50 − x ≥ 500;
x ≥ $475.79 727.29 + 248.50 − x ≤ 500;
x ≤ $475.79 727.29 − 248.50 + x ≥ 500
 x ≥ $21.21 727.29 – 248.50 - x ≤ 500
 x ≤ $21.21
6 0
3 years ago
How much will two points cost on a $175,000 mortgage?
Triss [41]
                                                                             43  $3500.00


because you must calculate $175,000.00*.02 so when that is multiplied it equalos $3500.00
8 0
3 years ago
Simplify The expression <br> -5/8 (-3/8 - 1/4)
dusya [7]

Answer:

25/64

Step-by-step explanation:

do what's inside parentheses first

-3/8 - 2/8 = -5/8

-5/8(-5/8) = 25/64

4 0
3 years ago
Other questions:
  • Doris uses 6 square pieces of fabric to make one scarf. Each side of a square piece of fabric is one third yard in length. Doris
    7·2 answers
  • What is 395,340 square feet of area minus an area of 110 x 30 feet?
    14·1 answer
  • Two gongs strike at intervals of 24 and 40minutes respectively. At twist time will they strike together again if they start simu
    8·1 answer
  • 3/4 m + 2/3 m + 5/9 m
    13·2 answers
  • After Rockwell farms installed an irrigation system, their yield per acre of corn rose 15% from 150 bushels per acre. what was t
    15·1 answer
  • How do you turn 3 6/20 into a decimal
    5·2 answers
  • PLEASE HELP WITH THIS
    12·1 answer
  • A quantity with an initial value of 510 decays exponentially at a rate of 0.05% every 7
    11·1 answer
  • Marking brainliest!<br><br> Why should we love ourselves and accept our body?
    12·2 answers
  • The sum of two positive integers is 18 and their difference is 2. What is the larger number?​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!