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Algebra probleem (34) |  |
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Probleem
Gegeven is:a + b + c + d = 4
ab + ac + ad + bc + bd + cd = -7
Bereken:
a2 + b2 + c2 + d2
Oplossing
(a + b + c + d)2 = a2 + b2 + c2 + d2 + 2(ab + ac + ad + bc + bd + cd) = 16
a2 + b2 + c2 + d2 = 16 - 2(-7) = 30
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Probleem Gegeven is:a + b + c + d = 4 ab + ac + ad + bc + bd + cd = -7 Bereken: a2 + b2 + c2 + d2 Oplossing (a + b + c + d)2 = a2 + b2 + c2 + d2 + 2(ab + ac + ad + bc + bd + cd) = 16 a2 + b2 + c2 + d2 = 16 - 2(-7) = 30
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