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
Tpy6a [65]
3 years ago
13

Find all complex solutions of 5x^2+5x+3=0.

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

5x² + 5x + 3 = 0 ← in standard form

with a = 5 , b = 5 , c = 3

Solve using the quadratic formula

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

  = \frac{-5+/-\sqrt{5^2-(4(5)(3)} }{2(5)}

  = \frac{-5+/-\sqrt{25-60} }{10}

  = \frac{-5+/-\sqrt{-35} }{10}

  = \frac{-5+/-\sqrt{-1(35)} }{10}

 = \frac{-5+/-i\sqrt{35} }{10}

Then

x = \frac{-5}{10} ± \frac{1}{10} i\sqrt{35} , that is

x = - \frac{1}{2} - \sqrt{x} \frac{1}{10} i\sqrt{35} , - \frac{1}{2} + \frac{1}{10} i\sqrt{35}

You might be interested in
(X^3-7x+4)+(2x+x-10)
lana66690 [7]
The answer is x^3-4x-6.
4 0
3 years ago
Simplify the rational expression. 5x - 40 / 64 - x^2
Maru [420]
5x - 5 over 8 - x ^ 2
7 0
3 years ago
Given: ABCD is a parallelogram and AC bisects BD.<br> Prove: AB is congruent to BC.
earnstyle [38]

Let's see

In ∆ABE and ∆CBE

  • BE=BE(Common side)
  • AE=EC[Diagonals of a parallelogram bisect each other]
  • <AEB=<BEC[90°]

So by

SAS congruence the triangles are congruent

AB=BC

  • Proved

Fact:-

It's already given AC is perpendicular to BD

  • It means diagonals are perpendicular to each other

According to general property of rhombus this parallelogram is also a rhombus.

So sides are equal hence AB =BC

3 0
2 years ago
3.<br> 9 (3x + 1) - 3(2x + 3)<br> -<br> Simplify the expression
Tanya [424]

Answer:

The answer for this question would be 21x (when simplified).

8 0
2 years ago
Read 2 more answers
PLEASE HELP.. on the number line, suppose point E has a coordinates of 3, and EG=11. What are the possible coordinates of point
harina [27]

Answer:

it is 8

Step-by-step explanation:

because EG is E+G which is 8+3 which equals 11 so it is 8

7 0
3 years ago
Other questions:
  • Solve the following equation:(g x f)(x) when f(x) = x+5 and g(x) = 7x
    15·1 answer
  • A. (1.34)(5.46) = (1.76)(x)
    11·1 answer
  • Calculati cat mai rapid (14+28+36+42):(18+24+46+32)
    7·1 answer
  • David lives 3 2/3 miles from the lake. Mariel lives2 1/2 times as far from the lake as David does.
    8·1 answer
  • You randomly choose one of the tiles. Without replacing the first tile, you randomly choose a second tile. Find the probability
    13·1 answer
  • QUESTION 4 If 1 foot = 0.37 metres and 1 mile = 5,180 feet, find the number of kilometres in 15 miles. show how to work out the
    14·1 answer
  • 8(−9 − 5x) + 4b use x = 9 and b = −9
    10·1 answer
  • Please answer asap!<br> which inequality matches this graph?
    13·1 answer
  • Help plz i rly need it ahahah
    14·2 answers
  • Can someone pls help me
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!