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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.

Respuesta :

Answer: No real solution

Step-by-step explanation:

Given

For the quadratic equation

[tex]ax^2+bx+c=0[/tex]

It is given that [tex]b^2-4ac<0[/tex]

[tex]D=b^2-4ac[/tex]

If [tex]D=0[/tex] roots are real and equal

If [tex]D>0[/tex] roots are real and distinct

If [tex]D<0[/tex] roots are imaginary

In this case, [tex]D<0[/tex]

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

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