Question

MEDAL



What are the solutions of 3x2 + 4x = -5?

the quantity negative 4 plus or minus i square root of 66 all over 6
the quantity negative 2 plus or minus 2i square root of 66 all over 3
the quantity negative 2 plus or minus i square root of 11 all over 3
the quantity negative 4 plus or minus i square root of 11 all over 6

Answer 1

@khusker

Answer 2

@DanJS

Answer 3

Have you studied the quadratic equation in your class?

Answer 4

\[x = \frac{ (-b) +- \sqrt{b^2 - 4 * a * c} }{ 2a }\]
where
\[ax^2 + bx + c = 0\]

Answer 5

Your equation is: 3x^2 + 4x + 5 = 0, so
a = 3
b = 4
c = 5

Answer 6

using those values, in the quadratic formula above ...

Answer 7

i'm confused lol

Answer 8

ohhhhh

Answer 9

\[x = \frac{ -4 +- \sqrt{4^2 - 4*3*5} }{ 2*3 }\]

Answer 10

The square root is going to contain a negative number, meaning imaginary/complex numbers

Answer 11

i got -44

Answer 12

right, recall the square root of -1 is i

Answer 13

\[\sqrt{-44} = \sqrt{-1 * 4 * 11} = \sqrt{-1}\sqrt{4}\sqrt{11} \]

Answer 14

\[2i * \sqrt{11}\]

Answer 15

so would that be -2 square root of 11

Answer 16

2i square root 11

Answer 17

i though i equals -1. or is that i squared

Answer 18

*thought

Answer 19

\[\sqrt{-1} = i\]

Answer 20

so \[i^2 = -1\]

Answer 21

soo i'm guessing it's C?

Answer 22

\[x = \frac{ -4 +- 2i \sqrt{11} }{ 6 } = \frac{ -2 +- i \sqrt{11} }{ 3 }\]

Answer 23

yes!! i was right lol

Answer 24

just divided each term by 2 there to reduce it

Answer 25

ohkayy. thank you so much

Answer 26

so it is the 3rd answer

Answer 27

no prob, anytime