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
agasfer [191]
3 years ago
11

ddle" class="latex-formula">
Quadratic Formula
Please show every step
Mathematics
1 answer:
mars1129 [50]3 years ago
4 0

Answer:

x=8,\:x=-3

Step-by-step explanation:

x^2-5x-24=0\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\mathrm{For\:}\quad a=1,\:b=-5,\:c=-24:\quad x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\left(-24\right)}}{2\cdot \:1}\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\x=8,\:x=-3=\frac{5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\5+\sqrt{121}\\=\frac{5+\sqrt{121}}{2}\\=\frac{5+11}{2}\\=\frac{16}{2}\\=8\\\frac{-\left(-5\right)-\sqrt{\left(-5\right)^2-4\cdot \:1\cdot \left(-24\right)}}{2\cdot \:1}\\=\frac{5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\\left(-5\right)^2\\=25\\4\cdot \:1\cdot \:24\\=96\\=5+\sqrt{25+96}\\

\frac{5-\sqrt{121}}{2\cdot \:1}\\\frac{5-11}{2}\\=-\frac{6}{2}\\=-3\\

You might be interested in
Rachel is 1.5 times as heavy as her cousin, Kayla
kkurt [141]
Is there more info to this?
3 0
3 years ago
- 1 13 and its opposite on a number line.
timofeeve [1]

Answer:

-113 and 113

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Classify the following triangle ​
jek_recluse [69]

Acute-The angle is less than 90 degrees

Equilateral-All sides are equal in length

Isosceles-Two of the sides are equal in length

Scalene-None of the sides are equal in length

Right-The angle is 90 degrees

Obtuse-The angle is greater than 90 degrees

We can see that none of the sides are the same length, so we know that it must be scalene.  We can also see that every angle is less than 90 degrees, so we know that is must be acute.

The triangle is scalene and acute.

Hope this helps!!

3 0
3 years ago
Ellie runs 5/6 mile in 10 minutes.what is ellie's speed in miles per minute?
olganol [36]

Answer:

1/12 miles/minute

Step-by-step explanation:

To figure out how fast ellie runs in 1 minute, we can set up this equation:

5/6 = 10x (x being the speed per minute)

We can divide both sides by 10

5/60 = x

Then simplify the fraction to get:

1/12 = x

4 0
3 years ago
HELPㅔPLS! BOTS STAY AWAY!! The mean amount of money withdrawn from
FromTheMoon [43]
The answer is $45 it wasn’t that hard

6 0
3 years ago
Read 2 more answers
Other questions:
  • Need help not too great with area like this Plz and thank you! A-175in B-140in C-129in D-85in
    12·1 answer
  • Write 0.0003532 in scientific notation. A. 3.532 × 105 B. 3.532 × 104 C. 3.532 × 10−4 D. 3.532 × 10−5
    12·1 answer
  • During his summer vacation, Alex spent 6 minutes riding his bike for every minute he spent watching television. If he rode his b
    7·1 answer
  • The measures of an angle and its supplement differ by 40°. What are the measures of the angles? Hint: an angle and its supplemen
    7·1 answer
  • PLEASE PLEASE HELP
    15·2 answers
  • Find the perimeter AND area of the parallelogram ABCD. Show all work
    5·1 answer
  • Put a check by all the prime numbers.
    10·2 answers
  • Rondel's parents borrow $5000 from the bank for a new car. The interest rate is 6% per year. How much simple interest will they
    13·1 answer
  • Find the value of x help me pls
    6·2 answers
  • 2. The cost of a badger is b pence. A raccoon is 5 pence more expensive than a badger and a beaver three times as expensive as a
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!