For the equation x2 + 3x + j = 0, find all the values of j such that the equation has two real number solutions. Show your work.

Question

turingtest · Answer

what is the part of a quadratic that determines the nature of its roots?

turingtest · Answer

@hpixley59

anonymous · Answer

discrimanant?

turingtest · Answer

right
and what is the formula for that?

anonymous · Answer

ax^2+bx+c

turingtest · Answer

no, that is just the general form of a quadratic polynomial
the formula for the discriminant is $b^2-4ac$
and what do we know about the discriminant when the roots are real ?

anonymous · Answer

im sorry, i dont know the answer to this.

turingtest · Answer

there are three possibilities about the discriminant
$b^2-4ac>0$
$b^2-4ac<0$
$b^2-4ac=0$
what does each case mean about the roots of the quadratic $ax^2+bx+c=0$ ?