Eén van de oplossingen van
de vergelijking (x onbekende)

x2 − 2 (2a + 3b)x + 24ab = 0

is
A.  6b
B.  − 6b
C.  − 4a
D.  4a + 6b
E.  − 4a − 6b
A    B    C    D    E

[ 4-2196 - op net sinds 24.7.2020-(E)-2.11.2024 ]

Translation in   E N G L I S H

One of the solutions
of the equation (x unknown)
x2 − 2 (2a + 3b)x + 24ab = 0
is

Oplossing - Solution

x² − 2(2a+3b)x + 24ab = 0
Discriminant D :
D = 4(2a + 3b)² − 4.24ab = 4(4a² + 12ab + 9b² − 24ab)
    = 4(4a² − 12ab + 9b²)  = 4(2a − 3b)²
x1 = 1/2(4a + 6b + 4a − 6b) = 1/2(8a) = 4a
x2 = 1/2(4a + 6b − 4a + 6b) = 1/2(12b) = 6b
gricha