Question

If x = 2√6 + 5. Find x^2 – 10x – 1​

Answer 1

Given:

x = 2√6 + 5

To find:

x^2 – 10x – 1

Solution:

x = 2√6 + 5

(x – 5)^2 – (2√6)^2

$\Longrightarrow \: x {}^{2} + 25 - 10x = 4 \times 6$

$\Longrightarrow \: x {}^{2} - 10x + 25 = 24 \\ \\ \Longrightarrow {x}^{2} - 10x + 25 = 24 \\ \\\Longrightarrow {x}^{2} - 10x + 25 - 24 = 0 \\ \\ \Longrightarrow {x}^{2} - 10x + 1 = 0 \\ \\ \Longrightarrow {x}^{2} - 10x + 1 - 2 = 0 - 2 \\ \\ \Longrightarrow {x}^{2} - 10x - 1 = - 2$

Hence, ${x}^{2} - 10x - 1$ = - 2

Answer 2

hope you like answer

thanks