Answers

  • Brainly User
2016-06-26T12:21:18+08:00
2r² = 32

Standard form:
2r² - 32 = 0

a = 2      b = 0       c = -32

1)  First, let's determine the nature of its roots, by finding the discriminant (k):

k = b² - 4(a)(c)

k = (0)² - 4(2) (-32)

k = 256     and    256 > 0   (that, is k > 0)

If k > 0 and is a perfect square (256 is a perfect square), then the equation has two rational solutions.

2)  Find  the roots.
Method - Extracting the roots (Use this method when b = 0).

2r² = 32

2r²/2 = 32/2

r² = 16

 \sqrt{ r^{2} } =  \frac{+}{-}  \sqrt{16}

r = +4 and - 4    (two roots)




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