Question

X²-3x-2=0 completing squares

Answer 1

Answer:
x=2 or 1
Explanation:
ax2 + bx + c = 0
is the general form of a quadratic trinomial.
x2 − 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.
x2 − 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)=1/4
x−(3/2)=±√1/4
x=±√(1/4)+(1+1/2)
x=+(1/2)+(1+1/2)
or
x=−(1/2)+(1+1/2)
x = 2 or
x = 1