Question

Which equations have the same pair of solutions?

a) (3+6) (1-6) = 0
b) (2+6) (+6) = 0
c) (1-6) (2-6) = 0
d) (21 + 12) (22 - 12) = 0

Answer 1

Equations (a) (3+6) (1-6) = 0 and (d) (21 + 12) (22 - 12) = 0 have the same pair of solutions; both have -6 and 6 as the solutions.

Step-by-step explanation:

The question asks which equations have the same pair of solutions. To determine this, we must look at the equations and identify the values that will satisfy each equation by setting each factor equal to zero:

• Equation (a) (3+6) (1-6) = 0 has solutions -6 (from 3+6=0) and 6 (from 1-6=0).
• Equation (b) (2+6) (+6) = 0 has only one apparent solution, -6 (from 2+6=0).
• Equation (c) (1-6) (2-6) = 0 has solutions 6 (from 1-6=0) and 6 (from 2-6=0).
• Equation (d) (21 + 12) (22 - 12) = 0 has solutions -12 (from 21+12=0) and 12 (from 22-12=0).

From the equations provided, equations (a) and (d) have the same pair of solutions: -6 and 6. Note that we treat '21' and '22' as separate factors since there are no clear arithmetic operators between the digits.