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
lisov135 [29]
3 years ago
7

What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?

Mathematics
2 answers:
Maslowich3 years ago
7 0

Answer:

A quadratic equation is in the form of ax^2+bx+c = 0 .......[1]

then the solution for this equation is given by:

x = \frac{-b \pm \sqrt{b^2-4ac}}{2a}

Given the quadratic equation:

f(x) = 2x^2-10x-3

To find the zero of the given equation.

Set f(x) = 0

then;

2x^2-10x-3=0

On comparing with equation [1] we have;

a = 2, b = -10 and c = -3

then;

x = \frac{-(-10) \pm \sqrt{(-10)^2-4(2)(-3)}}{2(2)}

⇒x = \frac{10 \pm \sqrt{100+24}}{4}

⇒x = \frac{10 \pm \sqrt{124}}{4}

⇒x = \frac{10 \pm 2\sqrt{31}}{4}

Simplify:

x = \frac{5 \pm \sqrt{31}}{2}

Therefore, the zeros of the given quadratic equation are;

x = \frac{5+\sqrt{31}}{2} and x=\frac{5-\sqrt{31}}{2}

Natasha2012 [34]3 years ago
5 0

Answer:

x=\frac{50+\sqrt{31}}{2},\frac{50-\sqrt{31}}{2}  are zeroes of given quadratic equation.

Step-by-step explanation:

We have been a quadratic equation:

2x^2-10x-3

We need to find the zeroes of quadratic equation

We have a formula to find zeroes of a quadratic equation:

x=\frac{b^2\pm\sqrt{D}}{2a}\text{where}D=\sqrt{b^2-4ac}

General form of quadratic equation is ax^2+bx+c

On comparing general equation with b given equation we get

a=2,b=-10,c=-3

On substituting the values in formula we get

D=\sqrt{(-10)^2-4(2)(-3)}

\Rightarrow D=\sqrt{100+24}=\sqrt{124}

Now substituting D in  x=\frac{b^2\pm\sqrt{D}}{2a} we get

x=\frac{(-10)^2\pm\sqrt{124}}{2\cdot 2}

x=\frac{100\pm\sqrt{124}}{4}

x=\frac{100\pm2\sqrt{31}}{4}

x=\frac{50\pm\sqrt{31}}{2}

Therefore, x=\frac{50+\sqrt{31}}{2},\frac{50-\sqrt{31}}{2}



You might be interested in
ANSWER QUICK PLZ
musickatia [10]
A. 60(2/3) + 35(7/10) + 45(5/6) = $102.00

b. 60 + 35 + 45 = 140 = original price
140 - 102 = $30 saved

c. 102/140 = .7286 * 100 = 72.86 % (not sure how you need it rounded)
3 0
3 years ago
Read 2 more answers
A professor wants to know how undergraduate students at X University feel about food services on campus, in general. She obtains
hammer [34]

Answer:

15000

Step-by-step explanation:

Given that a professor wants to know how undergraduate students at X University feel about food services on campus, in general. She obtains a list of email addresses of all 15,000 registered undergraduates from the registrar’s office and mails a questionnaire to 300 students selected at random.

Only 150 questionnaires are returned.

So the sample size changed to 150. But population is the number of registered undergraduates which do not change.

Population size = 15000

8 0
3 years ago
Solve for t<br> t/10-14=16<br> t=what
riadik2000 [5.3K]

Answer:

t = 300

Step-by-step explanation:

ur welcome

8 0
3 years ago
Read 2 more answers
Brett tallies up the transactions in his check register and comes up with a total balance of $248.53, but his bank statement say
Veseljchak [2.6K]
I'm 100% sure the answer is d. II and IV

because $257.72 - $248.53 = $9.19

and $73.98 - $64.79 - 9.19

i hope this helps :)
7 0
3 years ago
Read 2 more answers
Taylor bought 6 tickets to a movie. The price of each ticket was the same. After he bought the tickets, his account balance show
Sladkaya [172]

It is -11.34

-$68.04 divide by 6 is -$11.34, so instead of 11.34, it's -11.34

3 0
3 years ago
Other questions:
  • Peter has money in two savings accounts. One rate is 6% and the other is 14%. If he has $900 more in the 14% account and the tot
    8·1 answer
  • The University of Central Florida's cheerleading team has eighteen males and twenty-one females. If h represents the height of a
    10·1 answer
  • What is the x and y intercepts of x + y=4?
    10·2 answers
  • Please help with this
    10·2 answers
  • What are the factors of expression (y-3)(x+7)
    8·1 answer
  • The pair of points is on the graph of an inverse variation. Find the missing value. (9,5) and (x,6)
    13·2 answers
  • (17x - 23)<br> (7x + 2)°
    7·1 answer
  • Please help ! This is due today .
    11·2 answers
  • PLS HELP
    13·2 answers
  • Find the surface area of the composite figure
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!