Question

2. Complete the table below by stating the number of solutions and explaining orsolving to show your reasoning.a) x2 - 25 = 0b) (x - 2)2 = 0c) (x - 3) ? = 81Number of solutions: Number of solutions: Number of solutions:0101201N2Type Here:Type Here:Type Here:Explain or show yourreasoning on how yousolved the aboveproblem.Explain or show yourreasoning on how yousolved the aboveproblem.Explain or show yourreasoning on how yousolved the aboveproblem.Type Here:Type Here:Type Here:I

Answer 1

For the first equation:

x^2 - 25 = 0...... x^2 = 25..... x = sqrt(25)..... x = 5 and x = -5.... so it has two solutions: 5 and -5

For the second euation:

(x - 2)^2 = 0.... the solution is x = 2 because when x = 2, (2 - 2)^2 = 0 ^ 2 = 0

So it only has one solution: 2

For the third equation:

(x - 3)^2 = 81.... x - 3 = sqrt(81) = -9 and +9

x - 3 = -9... x = -6

x - 3 = 9... x = 12

so it has two solutions: -6 and 12