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Solving Equations with a radical

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Solving Equations with a radical

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    1. Solving Equations with a radical 1.) a2 = 36 2.) a2 = 49 3.) a2 = 60 4.) a2 = 80

    2. Solving Equations with a radical 1.) a2 = 36 a = 36 a = 6, or -6

    3. Solving Equations with a radical 2.) a2 = 49 a = 49 a = 7, or -7

    4. Solving Equations with a radical 3.) a2 = 60 a = 60 a = 2 15, or -2 15

    5. Solving Equations with a radical 4.) a2 = 80 a = 80 a = 4 5 , or -4 5

    6. Area of a Square Area = Length * Width

    7. Areas of 3 squares

    8. Arrange them into a triangle

    9. Pythagorean Theorem Area =16

    10. Now make your squares Outline 3 squares that are: 1.) 3,4,5 in length

    11. Pythagorean Theorem 2.) 6,8,10 in length Area =36

    12. Pythagorean Theorem 3.) 6,7,8 in length Area =49

    13. Pythagorean Theroem The sum of the areas of the 2 smaller squares equals the area of the largest square. This is TRUE for all Right Triangles

    14. Pythagorean Theorem Area =a2

    15. Find c if a2 + b2 = c2 1.) a=6, b= 8 2.) 82+152=c2

    16. 1.) Find the Hypotenuse a2 + b2 = c2 62 + 82 = c2 36 + 64 = c2 100 = c2 10 = c

    17. 2.) Find the Hypotenuse a2 + b2 = c2 82 + 152 = c2 64 + 225 = c2 289 = c2 17 = c

    18. Find c if a2 + b2 = c2 3.) a=12,b=16 4.) 72+242=c2

    19. 3.) Find the Hypotenuse a2 + b2 = c2 122 + 162 = c2 144 + 256 = c2 400 = c2 20 = c

    20. 4.) Find the Hypotenuse a2 + b2 = c2 72 + 242 = c2 49 + 576 = c2 625 = c2 25 = c

    21. Pythagorean Theorem What relationship exists between the lengths of the sides of a Right Triangle??

    22. Pythagorean Theorem In a Right Triangle, the sum of the smallest sides squared is equal to the largest side squared. a2 + b2 = c2 where c is the longest side The longest side is known as the hypotenuse of the triangle.

    23. Pythagorean Theorem a2 + b2 = c2 32 + 42 = 52 9 + 16 = 25 25 = 25 Where sides (a & b) are the shortest sides and side c is the hypotenuse.

    24. Find a if b = 8 & c = 10 a2 + b2 = c2 a2 + 82 = 102 a2 + 64 = 100 a2 + 64 - 64 = 100 - 64 a2 = 36

    25. Find a if a2 + b2 = c2 1.) c=10, b= 8 2.) c=20,b=16 3.) a2+152=172 4.) a2+242=252

    26. 1.) Find a a2 + b2 = c2 a2 + 82 = 102 a2 + 64 = 100 a2 = 36 a = 6

    27. 2.) Find a a2 + b2 = c2 a2 + 162 = 202 a2 + 256 = 400 a2 = 144 a = 12

    28. 3.) Find a a2 + b2 = c2 a2 + 152 = 172 a2 + 225 = 289 a2 = 64 a = 8

    29. 4.) Find a a2 + b2 = c2 a2 + 242 = 252 a2 + 576 = 625 a2 = 49 a = 7

    30. Find a if a2 + b2 = c2 1.) c=10, b= 8 2.) c=20,b=16 3.) a2+152=172 4.) a2+242=252 1.) a=6 2.) a=12 3.) a=8 4.) a=7

    31. Expression with radicals Evaluate b2 - 4ac When a =1, b= -2, c=-3 (-2)2 - 4(1)(-3) 4 + 12 = 16 = 4

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