Question

1
1
If x +
10, find the value of x2 +
х
Х​

Answer 1

• ₁₂₃₄₅₆₇₈₉₀₊₋₁$\alpha \frac{x}{y} \sqrt{x}$We have two methods.
• (1) The first is a much longer and strenuous approach. Most people would solve this problem using this method.
• Let’s start with what you were given, x+1/x=10
• .
• We can multiply both sides of the equation by x
• to get the following: x2+1=10x
• .
• We want to make this a quadratic, so let’s move the 10x
• to the left side by subtracting 10x from both sides. We get x2−10x+1=0
• .
• Using the quadratic formula, we get that x=5±26–√
• .
• We can just plug the value of x
• into x4−1/x4
• .
• We have
• (5+26–√)4–1(5+26√)4
• =4801+19606–√−14801+19606√