Question

Rewrite the equation by completing the square.

Answer 1

Answer:

(x-11/4)^2 = 9/16

Step-by-step explanation:

2x^2 -11x+14 = 0

Subtract 14 from each side

2x^2 -11x+14-14 = -14

2x^2 -11x = -14

Divide each side by 2

2/2x^2 -11/2 x = -14/2

x^2 -11/2 x = -7

Take the coefficient of x

-11/2

Divide by 2

-11/2  /2 = -11/4

Square it

(-11/4) ^ = 121/16

Add this to each side

x^2 -11/2 x  + 121/16= -7+121/16

(x+ -11/4)^2 = -7*16/16 + 121/16

(x-11/4)^2 = -112/16 +121/16

(x-11/4)^2 = 9/16