Question

factorise X raised to 4 minus 14 x square + 1​

Answer 1

Solution:

Given x⁴-14x+1

= (x²)² - 2*x*7 + 7² - 7² + 1

= [ (x²)² -2*x*7 +7²] - 49+1

= (x-7)² - 48

= (x-7)² - (√48)²

= (x-7+√48)(x-7-√48)

/* a²-b² = (a+b)(a-b) */

= (x-7+4√3)(x-7-4√3)

Therefore,

x⁴-14x+1 = (x-7+4√3)(x-7-4√3)

••••

Answer 2

Answer:

this is the answer by me(Abhishek Rawat)