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11 November, 12:49

What are the roots of the equation x2 - 5x + 6 = 0?

A

1 and - 6

B.

2 and 3

C

-1 and 6

D.

-2 and - 3

+3
Answers (1)
  1. 11 November, 12:55
    0
    The answer is

    B. - 2 and 3

    Step-by-step explanation:

    Given the expression

    x² - 5x + 6 = 0

    Firstly we need to find two numbers that when multiplied will give us the constant term 6, and when added will give us the 2nd term 5

    These numbers are 3 and 2

    Substituting 2x + 3x for 5x

    x² - (2x+3x) + 6 = 0

    x²-2x-3x+6=0

    (x²-2x) - (3x+6) = 0

    Factoring we have

    x (x-2) - 3 (x-2) = 0

    x-3=0, x-2=0

    x=3, x = 2
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