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Express $2 x^{2} + 12 x + 23$ in the form $2 (x + p)^{2} + q$ . Then $q$ equals:

Class 10Completing the SquareQuadratic Equations

A6
B5
C10
D4

Step-by-Step Solution

2 (x^{2} + 6 x) + 23 = 2 ((x + 3)^{2} - 9) + 23 = 2 (x + 3)^{2} - 18 + 23 = 2 (x + 3)^{2} + 5. q = 5

.

Answer: B) 5

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