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
Solving Inequalities<br><br>Algebra 1​
Simora [160]

Answer:

B greater than or equal to -12

7 0
3 years ago
Read 2 more answers
2!/0! = 2, 0 or undefined
Cloud [144]

Answer:

Undefined.

Step-by-step explanation:

Because there is a 0 in the denominator.

3 0
3 years ago
Read 2 more answers
A sample size of n = 64 is drawn from a population whose standard deviation is o = 5.6.
AlekseyPX

Answer:

The margin of error for a 99% confidence interval for the population mean is 1.8025.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this problem:

\sigma = 5.6

So

M = 2.575*\frac{5.6}{\sqrt{64}} = 1.8025

The margin of error for a 99% confidence interval for the population mean is 1.8025.

5 0
3 years ago
How do you write 2x^3 + 2x^2 - 3 as a trinomial?
NARA [144]

Answer: =

6x^2−5x−6

Step-by-step explanation:  Multiply each term in one expression times each term in the other, then simplify by combining like terms.  

Here are the like terms :  =(3x+2)(2x−3)=3x(2x+3x(−3)+2(2x)+2(−3)

                                               = 6x^2−9x+4x−6

                                                     =6x2−5x−6

7 0
3 years ago
Describe and correct the error made in solving the system of equations by elimination
lesya692 [45]
The mistake was when she multiplied the 2nd equation by 5, she forgot to also multiply that last number 10 by 5 as well.

correction :
5x + 3y - z = 15
-x + 2y + 3z = 10...multiply by 5
---------------------
5x + 3y - z = 15
-5x + 10y + 15z = 50 (result of multiplying by 5)
--------------------add
13y + 14z = 65

6 0
3 years ago
Other questions:
  • Is -2.74 a rational number?
    5·2 answers
  • The perimeter of a triangle is 30 units. If it is dilated with respect to origin by a scale factor of 0.5, what is the perimeter
    9·1 answer
  • ANSWER ASAP PLEASE WORTH 15 POINTS
    13·2 answers
  • a total of $30 was placed in for envelopes a different amount in each one money from the largest share was taken up to double ea
    15·1 answer
  • Triangle ABC has vertices at A(-2,1), B(-2,-3), and C(1,-2). What is the area of the triangle? a 18 square units b 9 square unit
    9·1 answer
  • Solve -np-70&lt;40 for n. show your work
    6·1 answer
  • PLEASE HELP!!
    9·2 answers
  • What is the equation of this line?<br><br> y=3x−2<br><br> y=13x−2<br><br> y=2x−3<br><br> y=12x−3
    15·1 answer
  • 20 points. Picture says it all.
    13·1 answer
  • Find p(4) when p=.80
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!