a9prkssamaddy a9prkssamaddy

17-03-2017
Mathematics

Answered

How many and what type of solution(s) does the equation have?

2w² + 50 = 20w

A2 irrational solutions
B1 rational solution
C2 rational solutions
D2 non-real solutions

Verified Answer :

wolf1728 wolf1728

17-03-2017

Let's use the quadratic formula:

2w² - 20w + 50 = 0
a = 2 b = -20 c = 50

x = -b +-sq root(b^2 - 4ac) / 2a
x = --20 +-sq root(400 -4250) / 4
x = 20 +-sq root(400 -42*50) / 4
x = 20 +-sq root( 0) / 4
x = 20 / 4 =5
I'd say it has one rational solution.
It does NOT have 2 solutions because the "plus / minus" section = 0.

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