math
posted by sarah on .
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=3x6

x^2=3x6
x^23x+6=0
In quadratic equation y=ax^2+bx+c
discriminate is D=b^24ac
In your case a=1 b= 3 c=6
D=b^24ac=(3)^24*1*6=924= 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^23x+6=0
and click option solve it
You will see solution stepbystep