Question

What number should be added to both sides of the equation to complete the square? x2 + 3x = 6 (StartFraction 3 Over 2 EndFraction) squared 3 62

Answer 1

Answer:

$\frac{9}{4}$

Step-by-step explanation:

Given

x² + 3x = 6

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2($\frac{3}{2}$ )x + ($\frac{3}{2}$ )² = 6 + ($\frac{3}{2}$ )²

The number added to both sides is ($\frac{3}{2}$ )² = $\frac{9}{4}$

Answer 2

Answer:

b

Step-by-step explanation: