Sandra exclaims that her quadratic with a discriminant of –4 has no real solutions. Sandra then puts down her pencil and refuses to do any more work. Create an equation with a negative discriminant. Then explain to Sandra, in calm and complete sentences, how to find the solutions, even though they are not real.
@Soniatonia

Question

Sandra exclaims that her quadratic with a discriminant of –4 has no real solutions. Sandra then puts down her pencil and refuses to do any more work. Create an equation with a negative discriminant. Then explain to Sandra, in calm and complete sentences, how to find the solutions, even though they are not real. 
@Soniatonia

anonymous · Answer

Ok, so In the equation x² +2x + 2 = 0 the discriminant equals b² - 4*a*c = -4, that is because the square root requires a negative number

anonymous · Answer

the solution will not be real.

anonymous · Answer

because there is a solution already

marcon · Answer

How did you get x^2+2x+2=0 ?

anonymous · Answer

In math 'i'  is the square root of minus 1

anonymous · Answer

The equation is an example of a quadratic with -4 discriminant, which you can use to  to find the unreal roots

marcon · Answer

Can we use another equation, for example
x^2 + 4x + 4 = 0

Would this ^^ one work?

anonymous · Answer

it's says that help Sandra find the solutions, even though they are not real, that's how I made x² +2x + 2 = 0 because  of b² - 4*a*c = -4

anonymous · Answer

and yes we can

anonymous · Answer

But make sure the discriminant has to equal -4

marcon · Answer

so it would be x^2 + 4x + 4 = -4    ???

anonymous · Answer

i² = -1.

marcon · Answer

ok so what would the full answer be?

anonymous · Answer

|dw:1426623161395:dw|
 the solutions are 2 + i and 2 -i