Solve Quadratic Equations by Completing the Square
Determine the Constant $$x ^ { 2 } - 3 x$$

question 178

Multiple Choice

Solve Quadratic Equations by Completing the Square
Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then
write and factor the trinomial.
- $$x ^ { 2 } - 3 x$$

• A) \(\frac { 9 } { 4 } ; x ^ { 2 } - 3 x + \frac { 9 } { 4 } = \left( x - \frac { 3 } { 2 } \right) ^ { 2 }\)
• B) \(- \frac { 9 } { 4 } ; x ^ { 2 } - 3 x - \frac { 9 } { 4 } = \left( x - \frac { 3 } { 2 } \right) ^ { 2 }\)
• C) \(\frac { 3 } { 2 } ; x ^ { 2 } - 3 x + \frac { 3 } { 2 } = \left( x - \frac { 3 } { 2 } \right) ^ { 2 }\)
• D) \(9 ; x ^ { 2 } - 3 x + 9 = ( x - 3 ) ^ { 2 }\)

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