## aussy123 Group Title Can someone explain this to me? I already know the answer, but I don't understand why its the answer. Without solving the equation, determine the nature of the roots of x2 - 2x - 8 = 0. Two, real unequal roots Two, real equal roots No real roots one year ago one year ago

1. UnkleRhaukus

$ax^2+bx+c=0$consider the discriminant $\Delta=b^2-4ac$

2. UnkleRhaukus

the discriminant is part of the quadratic formula $x=\frac{-b\pm\sqrt{\Delta}}{2a}$

3. UnkleRhaukus

the quadratic formula takes plus and minus the square root of the discriminant, plus and minus a square root will have one value if the term in the square root is 0, two values if the term in the sqrt is positive, and no real values f the term in the square is negative

4. UnkleRhaukus

*if

5. aussy123

Okay thanks, this is a mouthful but I understand lol.

6. UnkleRhaukus

**and no real values if the term in the square root is negative

7. UnkleRhaukus

yeah it is a complicate formula