Question

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.

Answer 1

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

Answer 2

@hpixley59

Answer 3

discrimanant?

Answer 4

right
and what is the formula for that?

Answer 5

ax^2+bx+c

Answer 6

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 ?

Answer 7

im sorry, i dont know the answer to this.

Answer 8

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 \(ax^2+bx+c=0\) ?