Use the discriminant to determine whether the following equations have solutions that are: two different rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary solutions. x^2=3x-6

Answer 1

x^2=3x-6

x^2-3x+6=0

In quadratic equation y=ax^2+bx+c
discriminate is D=b^2-4ac

In your case a=1 b= -3 c=6

D=b^2-4ac=(-3)^2-4*1*6=9-24= -15

When discriminante is negative quadratic have two imaginare solutions.

If you want to know that solutions in google type:

quadratic equation online

When you see list of results click on:

webgraphingcom/quadraticequation_quadraticformula.jsp

When page be open in rectacangle type:

x^2-3x+6=0

and click option solve it

You will see solution step-by-step