Question

a^4-3a^2+1=0হলে a^+1/a^2এর মান কত

Answer 1

সমাধান:

দেওয়া আছে:

$\rm \longmapsto {a}^{4} - 3 {a}^{2} + 1 = 0$

$\rm \longmapsto {a}^{4} - 3 {a}^{2} = - 1$

$\rm \longmapsto {a}^{2}( {a}^{2} - 3 ) = - 1$

$\rm \longmapsto {a}^{2} - 3= \dfrac{ - 1}{ {a}^{2} }$

$\rm \longmapsto {a}^{2} + \dfrac{1}{ {a}^{2} } - 3=0$

$\rm \longmapsto {a}^{2} + \dfrac{1}{ {a}^{2} } = 0 + 3$

$\rm \longmapsto {a}^{2} + \dfrac{1}{ {a}^{2} } =3$

★ সুতরাং, a² + 1/a² এর মান হল ৩.

উত্তর:

• a² + 1/a² এর মান হল ৩

আরো জানুন:

• (a + b)² = a² + 2ab + b²
• (a - b)² = a² - 2ab + b²
• a² - b² = (a + b)(a - b)
• (a + b)³ = a³ + 3ab(a + b) + b³
• (a - b)³ = a³ - 3ab(a - b) - b³
• a³ + b³ = (a + b)(a² - ab + b²)
• a³ - b³ = (a - b)(a² + ab + b²)
• (x + a)(x + b) = x² + (a + b)x + ab
• (x + a)(x - b) = x² + (a - b)x - ab
• (x - a)(x + b) = x² - (a - b)x - ab
• (x - a)(x - b) = x² - (a + b)x + ab