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
marta [7]
3 years ago
9

Evaluate the discriminant of each equation. Tell how many solutions each equation has and whether the solutions are real or imag

inary
x^2 + 4x + 5 = 0

x^2 - 4x - 5 = 0

4x^2 + 20x + 25 = 0
Mathematics
1 answer:
Elena L [17]3 years ago
6 0
All these equations are in the form of ax^2 + bx + c = 0, where a, b, and c are some numbers. the discriminants of equations like this are equal to b^2 - 4ac. if the discriminant is negative, there are two imaginary solutions. if the discriminant is positive, there are two real solutions. if the discriminant is 0, there is one real solution.

<span>x^2 + 4x + 5 = 0
</span>b^2 - 4ac
4^2 - 4(1)(5)
16-20
-4, two imaginary solutions.

<span>x^2 - 4x - 5 = 0
</span>b^2 - 4ac
(-4)^2 - 4(1)(-5)
16 + 20
36, two real solutions.

<span>4x^2 + 20x + 25 = 0
</span>b^2 - 4ac
20^2 - 4(4)(25)
400 - 400
0, one real solution.
You might be interested in
Factor the polynomial expression 3x² + 2.
mel-nik [20]

Answer:

\boxed{\left(x+i\sqrt{\frac{2}{3}}i \right)\left(x-i\sqrt{\frac{2}{3}}i \right)}

Step-by-step explanation:

Setting the expression equal to zero to find the roots,

3x^2 +2=0\\\\3x^2 =-2\\\\x^2 =-\frac{2}{3}\\\\x=\pm i\sqrt{\frac{2}{3}}

This means that

3x^2 +2=\boxed{\left(x+i\sqrt{\frac{2}{3}}i \right)\left(x-i\sqrt{\frac{2}{3}}i \right)}

5 0
1 year ago
The successor of a certain number when added to twice the number produces 61. What is the number?
Mademuasel [1]

Answer:

b

Step-by-step explanation:

3 0
3 years ago
Can you pleasee explain how to find a y- intersept??
AveGali [126]

a y-intercept is any point that has an x-value of 0. for example, the ordered pairs (0,6) and (0,-4) would both be considered y-intercepts since any point with an x-value of 0 overlaps with the y-axis.

8 0
3 years ago
Read 2 more answers
Which of the following would most likely be found at a factory a mall room b barn c cafeteria d machinery
NNADVOKAT [17]

It D machinery. It says it on the bottom of the problem but for further explanation, a mail room can be found in some but it’s more in offices than factories, a barn is obviously wrong, and cafeteria is only in some not all but all factories have machinery used to make the item they produce.

4 0
3 years ago
Does anyone know how to do this ??
german

Answer:

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • If y varies directly as x and y is 180 when x is n and y is n when x is 5, what is the value of n?
    15·2 answers
  • Help me and I'll label the first person the brainest
    14·1 answer
  • X^X+X^X=839 what is x?
    9·1 answer
  • Select the graph of f(x) = −0.5|x + 2| − 1
    9·2 answers
  • What will a $190,000 house cost 8 years from now if the price appreciation for homes over that period averages 7 percent compoun
    14·1 answer
  • Explain the pythagorean theorem, please and thank youu :)
    13·2 answers
  • I need help. What’s the answer and how do you do this?
    15·1 answer
  • Answer i will brainlist this is a give me
    6·2 answers
  • 393828294×3838383838229​
    5·1 answer
  • Select the expressions that are equivalent to 12x - 6.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!