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
Katen [24]
3 years ago
12

Solve 2x2 + 20x = −38. (1 point)

Mathematics
2 answers:
RoseWind [281]3 years ago
8 0

Answer:

The solutions are x=-5+\sqrt{6}  and x=-5-\sqrt{6}


Step-by-step explanation:

we have

2x^{2} +20x=-38

Divide by 2 both sides

x^{2} +10x=-19 ------> x^{2} +10x+19=0

we know that


The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to


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


in this problem we have


x^{2} +10x+19=0

so


a=1\\b=10\\c=19


substitute

x=\frac{-10(+/-)\sqrt{10^{2}-4(1)(19)}}{2(1)}


x=\frac{-10(+/-)\sqrt{100-76}}{2}


x=\frac{-10(+/-)\sqrt{24}}{2}


x=\frac{-10(+/-)2\sqrt{6}}{2}


x1=\frac{-10(+)2\sqrt{6}}{2}=-5+\sqrt{6}


x2=\frac{-10(-)2\sqrt{6}}{2}=-5-\sqrt{6}


balu736 [363]3 years ago
8 0
Pull  \ out \ like \ factors : \\ \\ 

   42 + 20x  =   2 * (10x + 21) \ \\ \\  Solve : \   2   = \  0 \\ \\  Subtract  21  from both sides of the equation : \\ 
                      10x = -21 \\ \\ Divide both sides of the equation by 10: \\ \\ 
                     x = -21/10 = \boxed{-2.100 }

You might be interested in
Eyo whassup??? Whats 5 times 553?
mylen [45]

Answer:

2765

Step-by-step explanation:

5x500=2500

5x50=250

5x3=15

2500+250+15=2765

8 0
2 years ago
Read 2 more answers
Maria has $5.00 more than José. Together they have. $37.50.
Soloha48 [4]

Answer:

Step-by-step explanation:

32.50 dollar

8 0
2 years ago
Read 2 more answers
A jar contains 99 large red​ marbles, 66 small red​ marbles, 88 large blue​ marbles, and 55 small blue marbles. if a marble is c
aliina [53]
I think it would be the first one
3 0
3 years ago
Which model shows 20%?
Bezzdna [24]
The bottom model shows 20%
3 0
3 years ago
Read 2 more answers
Dylan invested $93,000 in an account paying an interest rate of 3% compounded quarterly. Assuming no deposits or withdrawals are
Andreas93 [3]

The final balance is $154,577.63 or

The total compound interest is $61,577.63

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Two people are sharing equally 7 apples. How many apples will each person receivet
    5·2 answers
  • What are the intercepts of x^2+y-9=0
    9·1 answer
  • I don't get this Trash
    5·1 answer
  • Determine whether the two lines are parallel, perpendicular or neither x-3y=6 y=3x+4
    9·1 answer
  • Which is the vertex of x2 + 10x= - 17?<br> (-5.-8)<br> (5.8)<br> (-5.8)<br> (5.-8)
    13·1 answer
  • Will the change in temp be positive or negative
    12·2 answers
  • One store has carrots on sale for $1.1 for 3 pounds, while another store has carrots on sale for $0.78 for two pounds. Which sto
    13·2 answers
  • Fill in the missing decimal number. <br><br> To decrease by 14% multiply by...
    7·1 answer
  • Answer my last question for all my points .
    5·1 answer
  • How to bypass school chromebook and download games?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!