De oplossingenverzameling

van   75 x4 = 3 x2

(in R )   is 		A.   { ± 1op5 }
B.   { 0, }
C.   { 1op3, ± 1op5 }
D.   { 0, ± }
E.   { 0, ± 1op5 }
A    B    C    D    E

[ 5-2140 - op net sinds 16.11.14-(E)-25.10.2023 ]

Translation in   E N G L I S H

What is the
solution set of
75 x4 = 3 x2
 A.   { ± 1op5 }
B.   { 0, }
C.   { 1op3, ± 1op5 }
D.   { 0, ± }
E.   { 0, ± 1op5 }

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 = ∨ x = −