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
s2008m [1.1K]
3 years ago
15

Can someone help me solve this please. I forgot how to so if you could explain please.

Mathematics
2 answers:
Licemer1 [7]3 years ago
8 0

So for this, I will be using the quadratic formula, which is x=\frac{-b\pm \sqrt{b^2-4ac}}{2a} , with a = x^2 coefficient, b = x coefficient, and c = constant. Using our equation, plug the numbers in their appropriate spots:

x=\frac{-10\pm \sqrt{10^2-4*1*(-2)}}{2*1}

Next, solve the exponent and the multiplications:

x=\frac{-10\pm \sqrt{100-(-8)}}{2}\\\\x=\frac{-10\pm \sqrt{100+8}}{2}

Next, solve the addition:

x=\frac{-10\pm \sqrt{108}}{2}

Next, apply the product rule of radicals here and simplify the radical:

  • Product rule of radicals: √ab = √a × √b

\sqrt{108}=\sqrt{6}\times \sqrt{18}=\sqrt{3} \times \sqrt{2} \times \sqrt{9} \times \sqrt{2} =3\times 2\times \sqrt{3}=6\sqrt{3}\\\\x=\frac{-10\pm 6\sqrt{3}}{2}

Next, divide:

x=-5\pm 3\sqrt{3}}

*<u>The above is your exact solution. Approximates (rounded to the hundreths) are below:</u>

Next, solve the equation twice, once with the + symbol and once with the - symbol:

x=-5\pm 3\sqrt{3}}\\x=0.20, -10.20

Luba_88 [7]3 years ago
5 0

Hi,

Let's solve the equation step-by-step.

x2+10x−2=0

Step 1: Use quadratic formula with a=1, b=10, c=-2.

x= −b±√b2−4ac  / 2a

x=  −(10)±√(10)2−4(1)(−2)  / 2(1)

x=  −10±√108  / 2

x=−5+3√3 or x=−5−3√3

Answer:

x=−5+3√3 or x=−5−3√3

Have a great day!

You might be interested in
Write an inequality that represents the verbal expression. 9 less than a number n is less than 17.
bekas [8.4K]
9>n>17
it means that n can be whatever number between 9 and 17
7 0
3 years ago
Read 2 more answers
at the souvenir shop each stuffed elephant was on sale for $5 off Matrix bought three of them for $45 how much did each stuffed
kondor19780726 [428]
Hello there!
So the equation I would use for this word problem is 3(s+5)=45.
3s+15=45
    -15  -15
__________
3s=30
Divide 3 from both sides.
s ends up equaling 1.
Each stuffed animal elephant cost $10
4 0
3 years ago
Read 2 more answers
Can someone help me ?
lozanna [386]

Answer:

10 > v (if you don't trust me, check it yourself. Subsitute v for 10 in the first equation.

Step-by-step explanation:

1) 7 > v - 3

2) add 3 to both sides

3) so 7 plus 3 equals 10

So you basically do this

7 > v - 3 (ad 3 to both sides)

You get 10 > v (which is as simplified as possible)

Hope this helps! :)

8 0
3 years ago
Please help ASAP!!! Find the area of the triangle.
pentagon [3]

Answer:

2.3cm x 4cm =

<h2><u><em>9.2cm²</em></u></h2>

4 0
2 years ago
What is 7/10-1/2 for subtracting fractions
Charra [1.4K]
I'm guessing you mean to find the answer. So find a common denominator, which is 10. You can leave 7/10 alone. Now multiply by 5 on both the numerator and denominator of 1/2. It would be 5/10. Now subtract 7/10-5/10. The answer is 2/10. It can be simplified to 1/5. The answer now would be: 1/5
I hope this helps. :-) 
7 0
3 years ago
Read 2 more answers
Other questions:
  • 3. The ratio of honey bees to hives is 10,000 to 3. If there are 9 hives, how many honey bees are there?
    15·1 answer
  • What is the graph of the function f(x) = the quantity of x squared plus 5x plus 6, all over x plus 3?
    10·2 answers
  • Which structure of a protein is the second folding of the protein chain ?
    10·2 answers
  • identify the graph of 9x^2-25y^2=225 for t(0 5) and write an equation of the translated or rotated graph in general form
    15·2 answers
  • -15<br> π<br> + 12<br> π<br> - 5<br> π<br> =
    11·1 answer
  • Izzy deposits any money the team has left at the end of the season into a savings account, where it will remain until next seaso
    9·1 answer
  • Help asap!!!<br> i cant understand :,(<br> need answer !!!!!!!!!!!
    9·1 answer
  • Explain how to find the slope of a given line given the intercepts of the line
    10·1 answer
  • Solve the system of equation <br> y=4x-3<br> Y=-2x+9
    13·1 answer
  • Help me wit my math please
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!