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
Morgarella [4.7K]
3 years ago
10

Use the discriminant to determine the number of solutions to the quadratic equation 3x^2+5x=-1

Mathematics
1 answer:
kari74 [83]3 years ago
4 0

Answer:

Two real distinct solutions

Step-by-step explanation:

Hi there!

<u>Background of the Discriminant</u>

The discriminant b^2-4ac applies to quadratic equations when they are organised in standard form: ax^2+bx+c=0.

All quadratic equations can be solved with the quadratic formula: x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}.

When b^2-4ac is positive, it is possible to take its square root and end up with two real, distinct values of x.

When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.

When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.

<u>Solving the Problem</u>

<u />3x^2+5x=-1<u />

We're given the above equation. It hasn't been organised completely in ax^2+bx+c=0, but we can change that by adding 1 to both sides to make the right side equal to 0:

3x^2+5x+1=0<u />

Now that we can identify the values of a, b and c, we can plug them into the discriminant:

D=b^2-4ac\\D=(5)^2-4(3)(1)\\D=25-4(3)(1)\\D=25-12\\D=13

Therefore, because the discriminant is positive, the equation has two real, distinct solutions.

I hope this helps!

You might be interested in
Some Geometry problems I need some help with!
drek231 [11]

Answer:                                                                                

When a 2-D circle is rotated around a line that it does not touch. What is the name of the resulting figure?  

The answer is annulus

A sphere with radius 16 m is cut by a plane though it’s a great circle. What is the best description of the cross section that is shown?

B. A circle with radius 16 m

8 0
4 years ago
Can someone help me with real numbers
Ierofanga [76]

Answer:

Answer is on the pic

Explanation:

I hope it's helpful!

7 0
3 years ago
What’s is 2 1/2 divided 1/3
Marat540 [252]

Answer:

7\frac{1}{2}

Step-by-step explanation:

2\frac{1}{2} * the reciprocal of \frac{1}{3}

To find reciprocal, flip the top and the bottom.

So \frac{1}{3} would be \frac{3}{1}.

Multiply like normal.

6 0
3 years ago
At this weekend’s soccer game, 20 out of the first 50 people who entered the field were not wearing hats. If this sample is repr
Sedbober [7]

Answer:

150 people

Step-by-step explanation:

20/50 = 40%
So 40% are wearing hats and 60% aren't

0.6=60%

250x0.6= 150

6 0
3 years ago
WILL MARK BRAINLIEST!!!
MArishka [77]

Answer is From all those aforementioned, the true statement is: Thanh’s grade is 2.5 standard deviations below the mean of the test grades.

explanation

The z scores are standard deviations. If, for example, a tool returns a z score of +2.5, it means that the result is a standard deviation of 2.5. Very high or very low (negative) z scores associated

with very low p values are at the ends of the normal distribution.

8 0
2 years ago
Other questions:
  • (x 2 + 4x + 8)(2x - 1) find the product
    11·1 answer
  • To represent the loss of 5 points on the stock market you could use
    10·1 answer
  • Help please! I'm the worst at math. :(
    8·1 answer
  • -3 ( 10X - 4) = 5 (-6x+1)+7
    14·1 answer
  • Why is a scatterplot an appropriate display for this data set?
    11·2 answers
  • Find the value of x.
    11·1 answer
  • If UW = 9x – 9, what is UW in units?
    6·1 answer
  • marcus and anthony are selling camping equipment to try to earn money to buy three new gaming systems. Last month they sold back
    15·1 answer
  • Can you help me plz
    15·1 answer
  • Round 8,213 to the nearest thousand
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!