Question
If x² - 2x + 1 = 0, then find the value of (x² +
x⁻²)(x³ + x⁻³).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, (x² + x⁻²)(x³ + x⁻³) = (1 + 1)(1 + 1) = 2 × 2 = 4
More Algebra Questions
- Simplify the following expression:
16 + [17 - (8 + 11) + 6 - 3] ÷ 0.2 18/2 of 3/9 of 2/6 of 69690 = ?
- Simplify:
(13 X 11) + (19 X 3) = 400% of √?
8 × 12 + 110 ÷ 5 = 72 + ?
√529 * 5 – 15% of 220 + ? = 120% of 160
18(1/3) + 9(2/3) – 10(1/3) = 1(2/3) + ?
Solve: 3/4÷2/3
140% of 1270 + 60% of 2085 = 1881 + ‘?’% of 287
Find the simplified value of the given expression