Question

CAN SOMEONE PLEASE HELP ME ???? THIS IS SO CONFUSING. PLEASE PLEASE PLEASE HELP ME?

A quadratic equation is shown below:

x^2 + 5x + 4 = 0

Part A: Describe the solution(s) to the equation by just determining radicand. Show your work.

Part B: Solve 4x^2 -12x + 5 = 0 using an appropriate method. Show the steps of your work, and explain why you chose the method used.

Part C: Solve 2x^2 -10x + 3 = 0 by using a method different from the one you used in Part B. Show the steps of your work.

Answer 1

@ganeshie8

Answer 2

anybody?

Answer 3

the radicand is the value inside the square root if you are using the general quadratic formula... its commonly known as the discriminant

\[\Delta = b^2 - 4ac\]

you have a = 1, b = 5 and c = 4

so substitute them and get a value

Answer 4

oh ok srry wait a sec

Answer 5

the conditions for the discriminant

\[\Delta > 0 \] two unequal roots... if it is a perfect square the then the roots are rational.

\[\Delta = 0\] two equal or repeated roots... the quadratic factors to a perfect square.

\[\Delta < 0\] the roots and complex... and the term no real roots is used to describe them.

hope it helps

Answer 6

5^2 - 4 (1) (4)

Answer 7

thats correct... so what value does it have...?

Answer 8

-6

Answer 9

oops should read

\[\Delta > 0\] two real unequal....

Answer 10

ummm try again

25 - 16 =

Answer 11

oh srry did it in my head real quick

Answer 12

9

Answer 13

great so

9 > 0 so real unequal roots and 9 is a perfect square so the roots are rational.

that's it

Answer 14

ok so that 's part a right ?

Answer 15

that's correct...

Answer 16

ok could you help me with part b and c if not thats fine

Answer 17

ok... so for B.... you could use the general quadratic formula

\[x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}\]

a = 4, b = -12 and c = 5

but it can be factored...

Answer 18

it depends on when method you are confident with.

Answer 19

ok so for part c i could factor it right?

Answer 20

I'd factor B and use the General Quadratic formula for C

Answer 21

ok great thank you uhm do u mind helping me with one more i got most parts down but some i dont get

Answer 22

ok... what do you need a hand with..

Answer 23

A Labrador leaps over a hurdle. The function f(t) represents the height of the Labrador above the ground, in inches, at t seconds:

f(t) = -16^t2 + 20t

A foxhound jumps over the same hurdle. The table shows the height of the foxhound above the ground g(t), in inches, at t seconds:

Time (t) g(t)
0 0
0.4 7.44
0.6 9.24
0.75 9.76
1.0 9
1.50 0

Part A: Compare and interpret the maximum of f(t) and g(t)? (4 points)

Part B: Which function has a greater x-intercept? What do the x-intercepts of the graphs of f(t) and g(t) represent? (4 points)

Part C: Determine the y-intercepts of both functions, and explain what this means in the context of the problem. (2 points)

Answer 24

srry im not typing something is wrong with my internet

Answer 25

it keeps saying that im typing but im not

Answer 26

this looks like a test...

the max height for g(t) can be read off the table

max height is 9.76 when t = 0.75

for f(t) you need to find the line of symmetry, the max height is on this line

\[t = \frac{-b}{2a}\]

you have b = 20 and a = -16

so substitute and find the value of t, then substitute it into f(t) to find the max height.

of now for part B

0 = -4t(4t - 5)

find the values of t than make the equation true...

these are the times when the dog and fox are on the ground.

In both cases there is a solution t = 0.... you need to find the other value

in g(t) find the t values where g(t) = 0

hope it helps

Answer 27

yeah it is a test hope you dont mind

Answer 28

I do.. so I'll leave you to finish it...

Answer 29

ok thanks tho u have been a great help

Answer 30

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Answer 31

@dfjaijdkjlakjf

Answer 32

ok im srry @TheSmartOne

Answer 33

but he explained it to me

Answer 34

Yes but posting test questions is cheating...