+128597 x^2 - (3/2)x - 23/16 = 0
Add 23/16 to both sides
x^2 -(3/2)x = 23/16
Take (1/2) the coefficient on x, square it and add to both sides
So (1/2)(-3/2) = -3/4 and squaring this, we have 9/16
x^2 - (3/2)x + 9/16 = 23/16 + 9/16 factor the left side and simplify
(x - 3/4)^2 = 2 take both roots of each side
x - 3/4 = ±√2 add 3/4 to both sides
x = ±√2 + 3/4
So, x = √2 + 3/4 or x = -√2 + 3/4
"d" is correct
+128597 x^2 - (3/2)x - 23/16 = 0
Add 23/16 to both sides
x^2 -(3/2)x = 23/16
Take (1/2) the coefficient on x, square it and add to both sides
So (1/2)(-3/2) = -3/4 and squaring this, we have 9/16
x^2 - (3/2)x + 9/16 = 23/16 + 9/16 factor the left side and simplify
(x - 3/4)^2 = 2 take both roots of each side
x - 3/4 = ±√2 add 3/4 to both sides
x = ±√2 + 3/4
So, x = √2 + 3/4 or x = -√2 + 3/4
"d" is correct
