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
vredina [299]
3 years ago
6

Solve the following quadratic equation using the quadratic formula.

Mathematics
2 answers:
exis [7]3 years ago
4 0
5x^2-8x+5=0
ax^2+bx+c=0; a=5, b=-8, c=5
Quadratic Formula:
x=[-b+-sqrt(b^2-4ac)]/(2a)
x=[-(-8)+-sqrt( (-8)^2-4(5)(5) )] / [(2)(5) ]
x=[ 8+-sqrt(64-100)] / 10
x=[ 8+-sqrt(-36)] / 10
x=[8+-sqrt( (36)*(-1)) ] /10
x=[8+-sqrt(36)*sqrt(-1)] / 10
x=(8+-6i) / 10
x=(8/2+-6i/2) / (10/2)
x=(4+-3i)/5
x1=(4-3i)/5
x2=(4+3i)/5

Answers:
x=(4-3i)/5  ,  x=(4+3i)/5
Liula [17]3 years ago
4 0

Answer:

x=\frac{4-3i}{5} x= \frac{4+3i}{5}

Step-by-step explanation:

<em>Follow the quadratic formula</em>

You might be interested in
Factor completely 56a2b3 − 35ab.
VMariaS [17]

I would start off by taking away 1a. That would make the problem be 56ab3-35b.I only took away 1 because each have at least 1a and is okay to do.


Next I would deal with the variable b. I would cross of 1 b. That's because both sides have at least 1b.  Now, it's shortened to be 56ab2-35.


Since you cannot take away anymore variables, you have to deal with 56 and 35. I start small with dividing each by 2. I am trying to see what the greatest number could be while making the numbers still be whole. That turns 56 into 28 when it's cut in half. The 35 now turns into 17.5.


I would assume your teacher would want the numbers to be whole. seeing as though when 35 is cut in half and makes a decimal number, I would leave them. What I mean by that is to leave the numbers as 56 and 35.


So, that means the answer is 56ab2-35.


I hope this helps!! (And makes sense)

5 0
3 years ago
If I had n dollars in my bake account and deposited $132 what's an expression to represent the total amount I have
Deffense [45]

Answer:

T = n + 132

Step-by-step explanation:

Initially you have n dollars in your bank account.

Since the question doesn't ask or concern the future or present value of money, after depositing $132 you will totally (T) have:

T = n + 132

4 0
3 years ago
Consider the figure. Determine the value of w.​
AlekseyPX

Answer:

w=67°

Step-by-step explanation:

First you solve for x. 12x+11=x. X would be 1. Then you plug in 1 for x and add the w to the equation. 12(1)+11+w=90. after solving that you will get the total for w. which should be 67°

3 0
3 years ago
Read 2 more answers
In the △PQR, PQ = 39 in, PR = 17 in, and the altitude PN = 15 in. Find QR.
Licemer1 [7]

Answer:

So, this triangle PQR can be broken into two right triangles, PNQ and PNR, with legs PQ = 39, PN =15, and QN = ? and PR = 17, PN = 15, and NR =? respectively.


Let's solve for what is easier first:

Since we know that 5-15-17 is a Pythagorean triplet, we can infer that NR is 5....like I said earlier, it is a right triangle, so this guess holds true.


Here comes the interesting part:

Now, we have one part of QR, which is QN.

The other part can be solved by using the Pythagorean theorem.

It is (39^2-15^2)^(1/2)..which gives you 36, the square root of 1296, which happens to be the difference between the squares of 15 and 39.

SO, QR = QN + NR

5+36 = 41

QR = 41.

Hope this helps!

3 0
3 years ago
Read 2 more answers
3/4+5/6 divided by 2/3 in simplest form show work, please!<br> Thanks!
Nuetrik [128]

Answer:

2 \frac{3}{8}

Step-by-step explanation:

3/4 + 5/6  (lowest common denominator = 12)

= 9/12 + 10/12

= 19/12

19/12 ÷ 2/3  (reciprocate 2/3 to replace division sign by multiplication sign)

= 19/12 x 3/2

= 57/24

= 19/8

= 2 \frac{3}{8}

Hope this helps :)

3 0
3 years ago
Other questions:
  • jose buys a new moped. he travels 3km south and then 4 km east. how far does he need to go get back to where he started
    7·1 answer
  • Who prescribed the most medicine and why explain
    6·1 answer
  • Use logarithmic differentiation to find the derivative with respect to x of the function y= (sin x)^lnx
    6·1 answer
  • 20 points!
    8·2 answers
  • Arlen receives of $590 per week plus a 5% commission on all sales over
    14·1 answer
  • Which of these is the composite function f(g(x))? f(x) = x2 – 5 g(x) = 9x – 2
    11·1 answer
  • Trapezoid ABCD is graphed in a cordinate plane
    7·1 answer
  • Arnaud randomly selected 30% of French International Studies students and asked them if they know how to speak French. Of the st
    6·1 answer
  • Jim's father is older than 40 but younger than 50. If you divide his age by 2, 4, 5, 8, or 10, there will be a remainder of 1, H
    7·1 answer
  • What does changing the k variable do to the graph of a quadratic function
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!