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x4 – 62x2 + 1 = 0 Divide by x2 x2 – 62 + 1/x2 = 0 ⇒ x2 + 1/x2 = 62 As we know, (x + 1/x)2 = x2 + 1/x2 + 2 ⇒ (x + 1/x)2 = 62 + 2 = 64 ⇒ x + 1/x = √64 = 8 Again, As we know, (x + 1/x)3 = x3 + 1/x3 + 3 (x + 1/x) ⇒ 83 = x3 + 1/x3 + 3 × 8 ⇒ x3 + 1/x3 = 512 – 24 = 488
(22² × 8²) ÷ (92.4 ÷ 4.2) =? × 32
{(123 + ? × 28) – 1254} × (2328 ÷ 97 – 13) = 8195
Solve for ?.
?² = 37% of 800 – 14 × 18+ 5! - 20
6612 ÷ 19 - ?% of 240 = -2196
(1/8) × (256 × 2)/(8 × 4) + ?3 = 1730
Simplify the following expression:
84 - [21 - {14 - (25 - 16 + 8) }] ÷ 3 X 6
4? + 82 = 22% of 300
779 + 136 – 334 = 270 + 121 + ?