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29 January, 10:36

Which choices are solutions to the following equation? X^2-3x=-5/4

A=x=2

B=x=2.5

C=x=-1

D=x=0.5

+5
Answers (1)
  1. 29 January, 11:34
    0
    We can solve this equation by completing square

    and using formula a² - 2ab+b² = (a-b) ²

    x²-3x=-5/4

    x² - 2*3/2x + (3/2) ² = - 5/4 + (3/2) ²

    (x-3/2) ² = - 5/4 + 9/4

    (x-3/2) ² = 1

    √ (x-3/2) ² = + / -√1

    x-3/2 = 1, or x-3/2 = - 1

    x=1+3/2=5/2=2.5 or x=-1+3/2 = 1/2=0.5

    So we got 2 answers

    x=2.5 and x = 0.5.
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