Question

Medal and Fan! A quadratic equation has a discriminant of -1. Which answer describes the number and type of solutions of the equation?
a)1 real and 1 complex solution
b)1 real solution
c)2 complex solutions
d)2 real solutions

Answer 1

Hint:- the square root of a negative number is not real

Answer 2

Consider the quadratic formula

x = [-b +/- sqrt(b^2 - 4ac)] / 2a

(the discriminant is b^2 - 4ac)

Answer 3

I still don't get it

Answer 4

b^2 - 4ac is = negative 1
so square root of this is imaginary
Do you know what a complex number is?

Answer 5

Its a number made up of a real part and an imaginary part
- an example is 3 + 2i where i is the symbol for sqrt(-1)

Answer 6

@Englishguy
@ransondyara471
@imqwerty

Answer 7

@pooja195
@Mckeanzie
@-SpencerBraz-
@mathmale

Answer 8

let's substitute for the discriminant in the formula

x = - b +/- sqrt(-1) / 2a


the +/- indicates there are 2 solutions

Answer 9

so x = ( -b + sqrt(-1)) / 2a or (-b - sqrt(-1)) / 2a

sqrt(-1) = i so we have

(-b + i ) / 2a and (- b - i)/ 2a

= (-b/2a) + (i/2a) and (-b/2a) - (i/2a)


these are 2 complex numbers

-b/2a is the real part and -/2a is the imaginary part