Question

find the root of x + 16/x = 10​

Answer 1

Step-by-step explanation:

$x + \frac{16}{x} = 10 \\ x + 16 = 10x \\ 16 = 10x - x \\ 16 = 9x \\ \frac{16}{9} = x$

Answer 2

ANSWER

__________________⭐

$x2 - 10x + 16$

The first term is, x2 its coefficient is 1 .

The middle term is, -10x its coefficient is -10 .

The last term, "the constant", is +16

Step-1 :

Multiply the coefficient of the first term by the constant

$1 • 16 = 16$

Step-2 :

Find two factors of 16 whose sum equals the coefficient of the middle term, which is -10 .

$-16 + -1 = -17 \\ </p><p> -8 + -2 = -10$

That's it

Step-3 :

Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and -2

$x2 - 8x - 2x - 16$

Step-4 :

Add up the first 2 terms, pulling out like factors :

$x • (x-8)$

Add up the last 2 terms, pulling out common factors :

$2 • (x-8)$

2 • (x-8)

Add up the four terms of step 4 :

$(x-2) • (x-8)$

so zeroes are

$2 \: and \: 8$

$hope \: its \: help \: u$