Question

For a quadratic equation where: 2++=0

a
x
2
+
b
x
+
c
=
0

Where: 2−4<0
b
2
−
4
a
c
<
0

How many solutions do you have?

State whether the solutions are rational, irrational, or non-real. Explain why.

Answer 1

Answer: No real solution

Explanation:

Given

For the quadratic equation

`ax^2+bx+c=0`

It is given that
`b^2-4ac<0`

`D=b^2-4ac`

If
`D=0` roots are real and equal

If
`D>0` roots are real and distinct

If
`D<0` roots are imaginary

In this case,
`D<0`

So, there is no real solution for the given quadratic equation.