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Anestetic [448]
3 years ago
14

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

nary.
x^2 + 4x + 5 = 0
Mathematics
2 answers:
Novay_Z [31]3 years ago
6 0

Answer to Q1:

-4

Step-by-step explanation:

The formula to find discriminant is  

D= b²-4ac

Given equation is  

x²+4x+5=0

ax²+bx+c= 0 is general quadratic equation.

comparing given equation with general quadratic equation,we get

a= 1  ,b = 4 and c= 5

putting above values in the formula to find discriminant,we get

D= (4)²-4(1)(5)

D= 16-20

D= -4

Answer to Q2

Two  solution and imaginary

Step-by-step explanation:

Given equation is

x²-4x-5=0

The formula to find discriminant is D= b²-4ac

If D < 0 , the quadratic equation has two imaginary solutions.

If D > 0, the quadratic equation has two distinct real solutions.

If D = 0 , the quadratic equation has one solution.

x²+4x+5=0 has D=-4 which is less than zero.

hence, it has two imaginary solutions.


cupoosta [38]3 years ago
4 0

Answer:

D=-4<0, the equation has no real solutions, it has two imaginary solutions.

Step-by-step explanation:

The quadratic equation x^2 +4x+5=0 has coefficients

a=1,

b=4,

c=5.

The discriminant D is the expression

D=b^2-4ac.

Hence,

D=4^2-4\cdot 1\cdot 5=16-20=-4

Since the discriminant is negative, the equation has no real solutions, it has two imaginary solutions.

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Jason’s savings account has a balance of $2179. After 5 years , what will the amount of interest be at 6% compounded quarterly?
satela [25.4K]

Answer:

$755.80

Step-by-step explanation:

Determine the compound amount first and then subtract the principal from it, to find the amount of interest.

The compound amount formula is A = P (1 + r/n)^(nt), where

P is the initial principal, r is the interest rate as a decimal fraction, n is the number of compounding periods per year, and t is the number of years.  Here, P = $2179; t = 5 yrs; r = 0.06; and n = 4 (quarterly compounding).

We get:

A = $2179(1 + 0.06/4)^(4*5), or $2179(1.015)^20, or $2179(1.347) = $2937.80.

The compound amount is $2934.80.  Subtracting the $2179 principal results in the interest earned:  $755.80.

5 0
3 years ago
The length of a rectangle is 5 less than 3 times its width. The perimeter is
My name is Ann [436]

Answer:

The length is 28 and the width is 11

Step-by-step explanation:

To solve this problem, we can make the width as x.

Since the length is 5 less than 3 times the width, it's going to be 3x - 5

So now we've got the length and width, just need to find the perimeter, which is all the sides added up together. They already gave us the perimeter, so we just have to solve the equation:

2(3x - 5) + 2x = 78

6x - 10 + 2x = 78

8x - 10 = 78

8x = 88

x = 11

x = 11, but remember, x is the width, not the length. Since we already found what x is, we just have to plug it into the equation of:

3x - 5

3 × 11 - 5

33 - 5 = 28

Answer: Length = 28 (don't forget to add the unit if there is one)

8 0
2 years ago
Select the correct answer.
Drupady [299]

Answer: A

Step-by-step explanation:

because i did a quiz with the same and i got it right

8 0
2 years ago
7/8 multiplied by 33/8 divided by 7/4=​
Neporo4naja [7]

Answer:

924/448

Step-by-step explanation:

7/8×33/8

=231/64

=231/64÷7/4

=231/64×4/7

=924/448

8 0
2 years ago
How do i work out 6x+6=0
VMariaS [17]

Answer: X= -1

Step-by-step explanation: In this equation you want to solve for "x"

You subtract 6-6=0 leaving "x" by itself. So the equation will look like this: 6x= -6

After this you want to divide by 6 to one side and to the other equaling "x" as -1

8 0
3 years ago
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