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EastWind [94]
3 years ago
8

If x − √a is a factor of 2x4 − 2a 2x 2 − 3x + 2a3 − 2a2 + 3 , find the value of a.

Mathematics
1 answer:
iragen [17]3 years ago
3 0

Answer:

\boxed{\sf \ \ \ a = 1 \  \ \ }

Step-by-step explanation:

Hello,

saying that x-\sqrt{a} is a factor means that \sqrt{a} is a zero which means

2(\sqrt{a})^4-2a^2(\sqrt{a})^2-3*\sqrt{a}+2a^3-2a^2+3=0\\\\ 2a^2-2a^3-3*\sqrt{a}+2a^3-2a^2+3=0\\\\3-3*\sqrt{a}=0\\\\\sqrt{a}=\dfrac{3}{3}=1\\\\ a = 1

so the solution is a = 1

Do not hesitate if you have any question

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