Question

The number of quadratic equation $x^2+bx+c=0$ that have real and equal roots where coefficients $b$ and $c$ are from the set $\{1,2,3,4,5\}$ ($b$ and $c$ may be equal) is

• A. $4$
• B. $12$
• C. $2$
• D. $Noneofthese$

Answer 1

The correct option is C $2$

$x^2+bx+c=0$

$b^2-c=0$

b & c $\to \{1,2,3,4,5\}$

$b=1,c=1$

$b=4,c=2$

$2$ solutions only

C is correct.