ABC26GN1065 · Simplification

Subject: General Aptitude · Chapter: Simplification · Exam: 2006 · Marks: · Difficulty:

If $2 x^{2}+12 x+18=0$, what is the value of $x$ ?

(a)-3

(b)- 2

(c)2

(d)3

(e)More than one answer

Answer

Answer (as printed): A

Explanation

$2 x^{2}+12 x+18=0 \Leftrightarrow x^{2}+6 x+9=0$ $$\begin{aligned} & \Leftrightarrow x^{2}+3 x+3 x+9=0 \\ & \Leftrightarrow x(x+3)+3(x+3)=0 \\ & \Leftrightarrow(x+3)^{2}=0 \Leftrightarrow x=-3 . \end{aligned}$$

Explanation as extracted from the printed page; notation may be imperfect.

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