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Algebra problemen 68A t/m E |  |
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A.
Probleem
x=? y=?
Oplossing
B.
Probleem
x4 + x2 = 90.x3 = ?
Oplossing
Stel x2 = p.
p2 + p - 90 = 0.
(p-9)(p+10) = 0.
p=9.....x=3.....x3 = 27
C.
Probleem
x=?
Oplossing
D.
Probleem
| 2x = 216 3y = 216 |
bereken |  |
Oplossing
E.
Probleem
x en y zijn positieve gehele getallen.x2 + 4xy - 12y2 = 148.
Bereken x2 + y2
Oplossing
148 = 4 * 37
148 = 2 * 74
x2 + 4xy - 12y2 = (x + 6y)(x - 2y) = 148.
x + 6y = 37
x - 2y = 4.............geen oplossing in gehele getallen
x + 6y = 74
x - 2y = 2...........8y=72..........y=9; x=20
x2+ y2 = 481.
