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$x = 2$ is a root of $x^{2}$ + ax − 10 = 0, and $x^{2}$ + ax + $b = 0$ has equal roots. Find $b$ .

Competition practiceAlgebra

A9/4
B3/2
C9
D4/9

Step-by-Step Solution

4 + 2 a - 10 = 0

gives

a = 3

. Equal roots of

x^{2} + 3 x + b = 0

need

9 - 4 b = 0

, so

b = 9/4

.

Answer: A) 9/4

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