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Solve Quadratic Equations by Completing the Square
Determine the Constant x23xx ^ { 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.
- x23xx ^ { 2 } - 3 x


A) 94;x23x+94=(x32) 2\frac { 9 } { 4 } ; x ^ { 2 } - 3 x + \frac { 9 } { 4 } = \left( x - \frac { 3 } { 2 } \right) ^ { 2 }
B) 94;x23x94=(x32) 2- \frac { 9 } { 4 } ; x ^ { 2 } - 3 x - \frac { 9 } { 4 } = \left( x - \frac { 3 } { 2 } \right) ^ { 2 }
C) 32;x23x+32=(x32) 2\frac { 3 } { 2 } ; x ^ { 2 } - 3 x + \frac { 3 } { 2 } = \left( x - \frac { 3 } { 2 } \right) ^ { 2 }
D) 9;x23x+9=(x3) 29 ; x ^ { 2 } - 3 x + 9 = ( x - 3 ) ^ { 2 }

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