theirvoice945 theirvoice945

24-02-2020
Mathematics

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if the one root of the quadratic equation
[tex]ax ^{2} - 5x + 2 = 0[/tex]
is 2 then the other root is

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amna04352 amna04352

24-02-2020

Answer:

½

Step-by-step explanation:

If 2 is a root:

a(2)² - 5(2) + 2 = 0

4a - 10 + 2 = 0

4a = 8

a = 2

2x² - 5x + 2 = 0

2x² - 4x - x + 2 = 0

2x(x - 2) - 1(x - 2) = 0

(x - 2)(2x - 1) = 0

x = 2, ½

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