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The quadratic equation ax² + 20x + c = 0 has exactly one solution. If a + c 29, and a < c find the ordered pair ( a, c)

User Weier
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1 Answer

6 votes

Answer:

(a,c) = (4,25)

Explanation:

Since the quadratic equation has exactly one solution, then its discriminant must be 0:


20^2-4ac=0\\400-4ac=0\\ac=100

Given that
a+c=29, it's easy to see that
a=4 and
c=25 since 4*25=100 and 4<25.

User Nkjt
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