Question

Determine the solution(s) of and x ^ 3 = 1/64 x ^ 2 = 1/64
Drag each value to the correct column of the table.
Solution of x ^ 2 = 1/64
1 Solution of x ^ 3 = 1/64
Solution of Neither Equation
1 128
1 32
<
14
** sqrt(1/64)
*** root(1/64, 3)

Answer 1

Place the items as follows.

Solution of x^2 = 1/64
- "<" (this is -1/8)
- ** sqrt(1/64) (sqrt(1/64) = 1/8, so the ± pair gives 1/8 and -1/8)

Solution of x^3 = 1/64
- 14 (this is 1/4)
- *** root(1/64, 3) (cube root of 1/64 = 1/4)

Solution of Neither Equation
- 1 128 (1/128)
- 1 32 (1/32)

(Checks: x^2 = 1/64 ⇒ x = ±1/8. x^3 = 1/64 ⇒ x = 1/4. 1/32 and 1/128 satisfy neither.)