Question

Solve the quadratic equation 2x2

-9x+9 by the method of completing the square.​

Answer 1

Answer:

x = 3 or 1.5

Step-by-step explanation:

2x^2 -9x+9 =  0

x^2 -9/2 x + 9/2 = 0

Dividing whole equation by 2

x^2 -9/2 x = -9/2

Now we have to convert it to form (a+b)^2 or (a-b)^2

so (x)^2 - 2(x)(9/4) = -9/2

(x)^2 - 2(x)(9/4) + (9/4) ^2 = -9/2 + (9/4) ^2

(x-9/4)^2 = -9/2 +81/16

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

Case 1 :

x-9/4 = 3/4

x = 3

Case 2:

x - 9/4 = -3/4

x = 1.5

Hope it helps........