Algebra
Quadratic
MMTS_Full_Test_09
Grade 12
Question:
If the roots of $x^2+bx+c=0$ are real and unequal, those of $x^2+bx+(c+1)=0$ are
real and unequal
real and equal
not real
cannot be determined
Step-by-Step Solution
Key Concept: $\Delta_1=b^2-4c>0$; $\Delta_2=b^2-4(c+1)=\Delta_1-4$
$\Delta_2=b^2-4c-4$; could be positive, zero, or negative. Cannot be determined.
Correct Answer: 2