Question
If x² - 2x + 1 = 0, then find the value of (x³ +
x⁻³)(x + x⁻¹).Solution
x² - 2x + 1 = 0
x² + 1 = 2x
By dividing both side by 'x' we get,
(x + 1/x) = 2
So, x = 1 [Since we know if (x + 1/x) = 2, then the value of 'x' is 1]
Now, (x³ + x⁻³)(x + x⁻¹) = (1 + 1)(1 + 1) = 2 × 2 = 4
More Algebra Questions
12.5% of (100 + ?) = 40
2/9 of 5/8 of 3/25 of ? = 40
24 × √? + 4008 ÷ 24 = 40% of 200 + 327
7(1/2) – 3(5/6) = ? − 2(7/12)
280 ÷ 14 + 11 × 12 – 15 × 6 = ?
1550 ÷ 62 + 54.6 x 36 = (? x 10) + (28.5 x 40)
25% of 1000 + 10% of 150 – 22 × ? = 45
√ 729 × 5 – 220 % of 15 + ? = 120% of 160
What will come in the place of question mark (?) in the given expression?
(40% of ? × 43 ) – 232 = 751
180 % of 45 + √144 × 8 = ?2 + 80 % of 70
