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
The top of a table is a parallelogram with a base of 28 cm and a height of 20 cm. Patty wants to cover the table with tiles that
suter [353]

The area of the top of the table is 28 × 20 = 560 cm2. The area of Patty’s tiles is 8 cm2 each and the area of Jake’s tiles is 9 cm2 each. Patty will need 560 ÷ 8, or 70, tiles. Jake will need 560 ÷ 9, or about 63, tiles. So, Patty will use about 7 more tiles.

3 0
3 years ago
Read 2 more answers
The right isosceles triangle shown is rotated about line k with the base forming perpendicular to k. The perimeter of the triang
kipiarov [429]

Answer:

The new shape will be cone with a radius of 17 units, tilt height 24 and units of height k.

Step-by-step explanation:

The image related to the exercise is necessary, to be able to solve therefore the attached one.

We have the following information:

Perimeter of the triangle = 58 units

Hypotenuse = 24 units

We have that the other two sides are equal and have x units, therefore we have the following:

x + x + 24 = 58

2 * x = 58-24

2 * x = 34

x = 34/2

x = 17

Now the triangle rotates around line k , and then it will result in a cone, which is a three-dimensional shape.

Therefore, the new shape will be cone with a radius of 17 units, tilt height 24 and units of height k.

4 0
3 years ago
Solve each system of linear equations by substitution ​
mariarad [96]

Answer:

x=-6-3y/2

Step-by-step explanation:

5 0
3 years ago
Use perfect square factoring patterns<br> y^2 + 16y + 64 = 0
Pepsi [2]

Arrange your given equation to resembles the form
a^2 +2ab+ b^2 because this equals (a+b)^2

So we get:
y^2+16y+8^2=0

Now compare
y^2+16y+8^2 to a^2 +2ab+ b^2

So we got
y^2+2•8 y+8^2=0 which equals (y+8)^2






8 0
3 years ago
A recipe requires 4 cups of flour to make 12 servings and 7 cups of flour to make 21 servings. How many cups of flour is needed
grandymaker [24]

Answer:

6

Step-by-step explanation:

to get cups to servings multiply by 3

if you need 18 servings then divide by 3

6 0
3 years ago
Other questions:
  • I know this easy but what is 8 times 8
    11·2 answers
  • Curtis played through the next level of a video game. At the beginning of the level, he had 71,486 points. The first time throug
    14·2 answers
  • Three more than the product of two and a number <br> x.
    9·2 answers
  • Using the technique in the model above, find the missing segments in this 30°-60°-90° right triangle.
    13·2 answers
  • In ΔMNO, o = 3.1 cm, ∠N=44° and ∠O=35°. Find the length of n, to the nearest 10th of a centimeter.
    6·2 answers
  • Which equation best represents the line?
    9·1 answer
  • A retailer allowed 12% discount and sold a T- shirt at a loss of Rs 16. if he had sold it at 10% discount he would have gained R
    10·1 answer
  • (50 POINTS FOR THE FIRST ANSWER)
    8·2 answers
  • Please help asap !!!
    13·1 answer
  • What is 11÷165 as a decimal please answer
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!