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Mathematics 4 ESO – Unit 4 EQUATIONS AND INEQUALITIES Page 50 Activity 57

Watch the video on “Solving radical equations” and answer:

  • a) What is the first thing we have to isolate?
  • b) Where do we lose some information? Why?
  • c) Solve:
    • 4 + √(2x+24) = 10
    • √(x–1) – 5 = – 3

Watch the video on “Using the property of equality of powers to solve an equation with exponents” and answer:

  • d) What is the “property of equality”?
  • e) What is the “power of power rule”?
  • f) When we have the same bases on both sides of the equation, what do we do?
  • g) Solve:
    • 3^x = 9^(x+5)
    • 3^(2x–1) = 27