Question

for the following equation, state the value of the discriminant and then describe the nature of the solutions
17x^2 - 3x + 14 = 0

Answer 1

D = b^2 - 4ac = (-3)^2 - 4*17*14

Answer 2

D = 9 - 952 = -943

Answer 3

which one of the statements below is correct?

1. the equation has one real solution
2. the equation has two real solutions
3. the equation has two imaginary solutions

Answer 4

x1 = [-b - sqrt(D)]/(2a)
x2 = [-b + sqrt(D)]/(2a)

Answer 5

bahrom thank you so much

Answer 6

np..

Answer 7

x1 = [3 - sqrt(-943)]/(2*17)
x2 = [3 + sqrt(-943)]/(2*17)

Answer 8

the answers are imaginary..

Answer 9

why do you think so?

Answer 10

because of sqrt(-943), you can't take a square root of negative..

Answer 11

3. the equation has two imaginary solutions

Answer 12

can you solve this one for me please
4sqrtx^12

Answer 13

equals..?

Answer 14

yes

Answer 15

equals to what?

Answer 16

that is what we need to find.

Answer 17

[ 4*sqrt(x) ]^12?

Answer 18

it says use rational exponents to simplify

Answer 19

okay
here we go:
[ 4*sqrt(x) ]^12 = 4^12 * [ sqrt(x) ]^12

Answer 20

= 4^12 * x^6

Answer 21

i got the answer as x^3 is that right?

Answer 22

no it's x^6

Answer 23

4^12 * x^6

Answer 24

i tried it twice but still getting x^3

Answer 25

getting what?

Answer 26

the answer as

Answer 27

The answer is:
4^12 * x^6
whatever 4 to the 12th power is..

Answer 28

(2x+6)(9x^2+5x+5) multipy

Answer 29

sorry i was helpin someone else.. someone help out stlouisan..

Answer 30

thank you Bahrom