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
balandron [24]
3 years ago
11

Find the discriminant of the equation. x2 + 3x - 4 = 0

Mathematics
2 answers:
geniusboy [140]3 years ago
7 0

With a standard form quadratic, we see that with the quadratic formula:

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

That the part under the radical (b^2-4ac) can tell us many things about how the roots of this polynomial behave.

If b^2-4ac were 0, that would mean the polynomial would have one root at \frac{-b}{2a}. We call that a double root at (-b/2a,0).

If the discriminant is a perfect square, we note that the radical can be reduced and this the fraction is a rational number.

If the discriminant is negative, it means it has no real roots. That's because the root of a negative number is imaginary.

The last case if is the discriminant is neither a negative or a perfect square. That means the radical cannot be reduced and we will have two irrational roots.

In this problem, we see that the discriminant is:

3^2-4*1(-4)= \\9+16=\\25

The answer to the problem you asked is then 25, and we can also note that this quadratic has real, rational roots.

ivann1987 [24]3 years ago
5 0

Please use " ^ " to indicate exponentiation: x^2 + 3x - 4 = 0

Here, a = 1, b = 3 and c = -4.

The formula for the discriminant is b^2 - 4(a)(c).

Substituting the given values of a, b and c, we get:

(3)^2 - 4(1)(-4)

Evaluating this, we get 9 + 16 = 25.

The discriminant is 25.

-3 plus or minus √25

Taking this further, x = ------------------------------------

2

-3 plus or minus 5

or: x = -------------------------------- => {-4, 1} (solutions)

2

You might be interested in
A triangular course for a canoe race is marked with buoys. The first leg is 3/10 mi, the second leg is 1/2 mi, and the third leg
balu736 [363]
<h2>The race is 1.2 miles long</h2>

Step-by-step explanation:

The first leg is 3/10 mi, the second leg is 1/2 mi, and the third leg is 2/5 mi.

\texttt{Length of first leg = }\frac{3}{10}miles\\\\\texttt{Length of second leg = }\frac{1}{2}miles\\\\\texttt{Length of third leg = }\frac{2}{5}miles

Now we need to find length of race

       \texttt{Total length = }\frac{3}{10}+\frac{1}{2}+\frac{2}{5}\\\\\texttt{Total length = }\frac{3}{10}+\frac{5}{10}+\frac{4}{10}\\\\\texttt{Total length = }\frac{3+5+4}{10}\\\\\texttt{Total length = }\frac{12}{10}\\\\\texttt{Total length = }1.2miles

The race is 1.2 miles long

7 0
2 years ago
Emily arrives at school @ 8:35am. Together reading and math last for 1hr 35mins. Then Emily goes to band practice for 45mins. wh
Yuki888 [10]
THE ANSWER IS 19.4 TO THE QUESTION
6 0
3 years ago
Read 2 more answers
A square prism measuring 4 ft along each edge of the base and 6ft tall​
ki77a [65]
4ft * 4ft * 6ft = 96ft squared
6 0
2 years ago
Helpppppppppppppppppp​
scoray [572]

Answer:

f

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A=c+(-10) Solve for c in terms of other variables.
True [87]
To do this we need to move 10 to other side.  To accomplish this you just need to add 10 to both side since (-10) 

so 
A+ 10 = c -10 + 10 
we get
A+ 10 = c

lets say it wasn't -10 but positive 10. 

A = c + 10  then we would subtract 10 from both sides

A -10 = c + 10 - 10 
we get 
A  - 10 = C 
5 0
3 years ago
Other questions:
  • The manager of the quality department for a tire manufacturing company wants to know the average tensile strength of rubber used
    12·1 answer
  • Rosy has 16 pencils and 24 erasers. She is putting together packets that will have an equal number of pencils and erasers in eac
    11·2 answers
  • Mark used 107 cans of paint on his house. He used 19 more cans outside than inside. How many cans did he use outside? How many d
    9·1 answer
  • Find the least common multiple of 5 10 and 15
    8·1 answer
  • Evaluate |5 - 15|.<br><br> -10<br> 10<br> 20<br> -20
    13·2 answers
  • Please help need answer
    5·1 answer
  • 7.25 x 2 1/2= WHAT PS HELPPP!!!!
    12·2 answers
  • What is the answer to 8w+56?
    12·2 answers
  • 214 out of 450 students went to a concert, what percent did not go?
    7·2 answers
  • Find the coordinates of the point 7/10 of the way from A to B
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!