Question

Find the exact solutions to 6x^2+x+4=0 by using the quadratic formula.

x=-b+-sqrtb^2-4ac/2a
-1+-sqrt1^2-4(6)(4)/2(6)
-1+-sqrt-95/12
-1-95/12
-96/12
x= -8

-1+95/12
94/12= 7.8333..

[-8, 7.83](answer)

Answer 1

do u cumplex numbers???

Answer 2

What do you mean?

Answer 3

do u know cumplex numbers???as your sqrt is negative(b²-4ac=-95) you have to use cumplex numbers to solve this equation

Answer 4

no that's the only way I know how to do it.

Answer 5

so 6x²+x+4=0 has no one solution(no one real solution but there are cumplex solution : it's (-1+-isqrt95)/12

Answer 6

since a=6,b=1,c=4

=-B¡¾¡î(B©÷-4AC)/2A
"-1¡¾¡î(1©÷-4(6)(4))/2(6)

"-1¡¾¡î(-95)/12
so the roots are imaginary

"since the square root of "-1" is "I"
(yes the letter "I")

Then your roots are
"(-1+9.74i)/12 and (-1-9.74i)/12