Question

solve for x *x2+ 1 / x2 is equal to 17 /4 ​

Answer 1

Given;

• x² + 1/x² = 17/4
• x² + 1/x² ± 2(x)(1/x) = 17/4
• (x + 1/x)² - 2 = 17/4
• (x + 1/x)² = 17/4 + 2
• (x + 1/x)² = ( 17 + 8 )/4
• x + 1/x = √ ( 25/4 )
• x + 1/x = 5/2
• (x² + 1)/x = 5/2

• 2x² + 2 = 5x
• 2x² - 5x + 2 = 0
• 2x² - 4x - x + 2 = 0
• 2x(x-2) - 1(x-2) = 0
• (2x-1)(x-2) = 0

• at 2x - 1 = 0 => x = 1/2
• at x - 2 = 0 => x = 2

Thus x is either 1/2 or 2

#answerwithquality

#BAL

Answer 2

Value of x is either 2 or 1/2

Thanks!!!