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22 November, 18:16

Pythagoras Theorem and Quadratic Equations

Solve for x:

a = (x-2)

b = 9

c = (x+1)

+4
Answers (2)
  1. 22 November, 18:35
    0
    x = - 13

    Step-by-step explanation:

    using Pythagoras theorem which says that the square of the hyponeneus side of a right angled triangle is equal to the sum of square of the two opposite sides.

    mathematically,

    |H|² = |OPP|² + |ADJ|²

    H = (x-2), opp = 9 adj = (x+1)

    (x-2) ² = (9) ² + (x+1) ²

    x² - 4x + 4 = 81 + x²+2x+1

    collecting the like terms

    x² - x² - 4x-2x = 81 + 1 - 4

    - 6x = 89 - 4

    -6x = 78

    divide both sides by the coefficient of x which is - 6

    -6x/-6 = 78/-6

    x = - 13
  2. 22 November, 18:36
    0
    Step-by-step explanation:

    Pythagoras theorem

    a^2=b^2+c^2

    (x-2) ^2=9^2 + (x+1) ^2

    x^2-4x+4=81+x^2+2x+1

    Collect like terms

    -4x-2x=82-4

    -6x=78

    x=-13
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