Question

xsquare - 3x-2 by completing square method​

Answer 1

Step-by-step explanation:

x²-3x-2

ax^2 + bx +c =0

is the general form

of a quadratic trinomial.

x^2 - 3x " " = 2 " move the constant to the RHS"

Add ((b/2)^2) to both sides to form the square of a binomial. This step is the completing of the square.

x^2 - 3x + ((3/2)^2) " = 2 + ((3/2)^2)

Add (b/2)^2 to both sides to form the square of a binomial.

(x - 3/2)^2 = 2 + 9/4 = 17/4

x -3/2 = +-sqrt(17/4)

x = +-sqrt(17/4) +1 1/2

x = +sqrt(17/4) +1 1/2 " or " x = -sqrt(17/4) +1 1/2