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Radical Equations

2.5. Radical Equations. Radical Equations. An equation in which a is called a . It should be noted, that when solving a radical equation algebraically, may be introduced when both sides of an equation are squared. Check:. Solve: √ x - 3 - 3 = 0. Therefore, the solution.

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Radical Equations

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  1. 2.5 Radical Equations

  2. Radical Equations An equation in which a is called a . It should be noted, that when solving a radical equation algebraically, may be introduced when both sides of an equation are squared. Check: Solve: √ x - 3 - 3 = 0 Therefore, the solution

  3. Solving Radical Equations 4 + √ 4 + x2 = x Check:

  4. Solving Radical Equations Solve Set up the equation so that there will be one radical on each side of the equal sign. Square both sides. Simplify. L.S. R.S. Verify your solution.

  5. Squaring a Binomial Note that the middle term is twice the product of the two terms of the binomial. (a + 2)2 = ( 5 + √x - 2 )2 The middle term will be twice the product of the two terms. A final concept that you should know: (a√x + b)2

  6. Solving Radical Equations Set up the equation so that there will be only one radical on each side of the equal sign. Solve Square both sides of the equation. Use Foil. Simplify. Simplify by dividing by a common factor of 2. Square both sides of the equation. Use Foil.

  7. Solving Radical Equations Distribute the 4. Simplify. Factor the quadratic. Solve for x. Verify both solutions. L.S. R.S. L.S. R.S.

  8. Solving a Radical Equation Graphically The solution will be the intersection of the graph Solve and the graph of y = 0. L.S. R.S. Check:

  9. Solving a Radical Equation Graphically Solve

  10. Assignment Pages 145-153 (4,5,6,7)ace… 10,12a MC: 1,2

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