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In Mathematics / High School | 2014-11-30

Solve the equation:

\[ 9x^2 - 4x^2 = -2 \]

Asked by murielbrazeau

Answer (3)

9 x 2 − 4 x 2 = − 2 5 x 2 = − 2 x 2 = − 5 2 ​ x ∈ ∅

Answered by konrad509 | 2024-06-10

9x²-4x²=-2
5x²=-2
x²=-2/5
√x²=√-2/5
x=√-10/5

Answered by lekhagummalla | 2024-06-10

The equation simplifies to 5 x 2 = − 2 , leading to x 2 = 5 − 2 ​ . This indicates there are no real solutions because of the negative value, but the complex solutions are x = ± 5 i 10 ​ ​ . Thus, the equation has two complex solutions.
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Answered by Anonymous | 2024-11-13