De oplossingenverzameling

van   75 x4 = 3 x2

(in R )   is 		A.   \( \{ \pm \frac15 \}\)
B.   \( \{ 0,\frac1{25} \}\)
C.   \(\{\frac13,\pm\frac15\}\)
D.   \(\{ 0,\pm\frac1{25}\}\)
E.   \(\{ 0,\pm\frac15\}\)
A    B    C    D    E

[ 5-2140 - op net sinds 16.11.14-(E)-3.5.2025 ]

Translation in   E N G L I S H

What is the
solution set of
75 x4 = 3 x2
A.   \( \{ \pm \frac15 \}\)
B.   \( \{ 0,\frac1{25} \}\)
C.   \(\{\frac13,\pm\frac15\}\)
D.   \(\{ 0,\pm\frac1{25}\}\)
E.   \(\{ 0,\pm\frac15\}\)

Oplossing - Solution

  75 x4 = 3 x2
⇔ 75 x4 − 3 x2 = 0
⇔ 3x2 (25 x2 − 1) = 0
⇔ 3x2 (5 x − 1)(5 x + 1) = 0
⇔ x = 0 ∨ x = 1op5 ∨ x = − 1op5