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Andrews [41]
2 years ago
13

Find the values of C for which C(x+2)—(x+2)(x–2)=0 has just one solution. please help me ASAP ​

Mathematics
1 answer:
CaHeK987 [17]2 years ago
3 0
<h3>Answer:   C = -4</h3>

==================================================

Work Shown:

C(x+2) - (x+2)(x-2) = 0

(x+2)(C-(x-2)) = 0

(x+2)(C-x+2) = 0

x+2 = 0 or C-x+2 = 0

x = -2 or x = C+2

If we want one solution only, then we must make C+2 = -2 which solves to C = -4

If C = -4, then x = C+2 = -4+2 = -2 which matches with the first solution mentioned. If C is anything else but -4, then we'd have two different solutions (eg: C = 10 leads to x = C+2 = 12 as the other solution)

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