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
miv72 [106K]
2 years ago
5

Solve 5x2-2x-8=0 using the quadratic formula.

Mathematics
2 answers:
choli [55]2 years ago
6 0

Answer:

x=\frac{1+\sqrt{41}}{5},\\x=\frac{1-\sqrt{41}}{5}

Step-by-step explanation:

The quadratic formula states that the solutions for a quadratic is standard form ax^2+bx+c are equal to x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}.

In 5x^2-2x-8=0, we can assign the values:

  • a of 5
  • b of -2
  • c of -8

Thus, we have:

x=\frac{-(-2)\pm \sqrt{(-2)^2-4(5)(-8)}}{2(5)},\\x=\frac{2\pm \sqrt{164}}{10},\\\begin{cases}x=\frac{2+ \sqrt{164}}{10}, x=\frac{1}{5}+\frac{\sqrt{41}}{5}=\frac{1+\sqrt{41}}{5}\\x=\frac{2- \sqrt{164}}{10}, x=\frac{1}{5}-\frac{\sqrt{41}}{5}=\frac{1-\sqrt{41}}{5}\end{cases}

BaLLatris [955]2 years ago
3 0

Answer:

(1+√41)/5, (1-√41)/5

Step-by-step explanation:

quadratic formula is (-b±√(b^2-4ac))/2a

in this equation,

a = 5

b = -2

c = -8

plug in the values

(2±√(4 - 4(5)(-8))/10

(2±√(4 + 160)/10

(2±√(164)/10

(2±2√(41))/10

1. (2+2√41)/10

(1+√41)/5

2. (2-2√41)/10

(1-√41)/5

You might be interested in
the dimensions of the oven tray is 600mm by 500mm. Each cake tin is 25cm in diameter. How many cake tins can be fit on the oven
gulaghasi [49]

That's 60cm by 50cm

so that would be 4 cake tins

8 0
2 years ago
Read 2 more answers
List the 3-membered subsets of the set {1,2,3,4,5,6).
Alexxandr [17]
Look at the attachment. Hope it helps!

8 0
3 years ago
Factor the expression.<br><br> 5x + 15<br><br> The factored expression is
Tresset [83]

Find the Greatest Common Factor (GCF)

GCF = 5

Factor out the GCF (Write the GCF first, and then in parenthesis, divide each term by the GCF.)

5(5x/5 + 15/5)

Simplify each term in parenthesis

<u>5(x + 3) </u>

8 0
3 years ago
Please answer for me appreciate it
miss Akunina [59]
Finding slope?
5. Slope is 5/3
6. Slope is 7/3
7. Slope is -3
8. Slope is 7/3

Just do rise/run
8 0
2 years ago
755,082 round to nearest ten thousand
scZoUnD [109]
755,082 rounded to the nearest ten thousand is 760,000
6 0
3 years ago
Other questions:
  • What is the next term in the geometric sequence below 3, -6, 12, -24, ____
    10·2 answers
  • CAN YOU GUYS HELP ME A$AP
    13·1 answer
  • Which axis goes up and down (vertical)?
    8·2 answers
  • Which of the points shown below are on the line given by the equation y = x? Check all that apply.​
    5·2 answers
  • Can someone plz explain Pythagoras theorem to me
    12·2 answers
  • Reduce the fraction
    9·1 answer
  • PLSSS HELP!!!! graph the linear equation x=6
    11·2 answers
  • People asked what the Absolute Value Homework looked like so here it is. I appreciate the help!
    5·2 answers
  • Solve for x please help me
    7·1 answer
  • Exit
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!