Finding Solutions

Mathematical Equivalence

ON

• Subtract 9

• Square both sides

• Add 4

• Square root both sides

What steps would solve the radical equation shown?

• Add 6 to both sides then square both sides

• Subtract 6 from both sides then square both sides

• Square both sides then add 6 to both sides

• Square both sides then subtract 6 from both sides

Mathematical Equivalence

ON

• It has no real solutions

• It has an infinite number of solutions

• It has one real solution at x = 33

• It has one real solution at x = -33

• Subtract 3 from both sides then square both sides

• Add 3 to both sides then square both sides

• Square both sides then add 3 to both sides

• Square both sides then subtract 3 from both sides

Mathematical Equivalence

ON

• Add 5 to both sides and then square both sides

• Subtract 5 from both sides and the square both sides

• Square both sides and then add 5 to both sides

• Square both sides and then subtract 5 from both sides