Question

The common root of x2 - 7x + 10 = 0 and x2 - 10x + 16 = 0 is

Answer 1

Given x^2 - 7x + 10 = 0

           x^2 - 5x - 2x + 10 = 0

           x(x-5)-2(x-5) = 0

           x = 2,5.


Given x^2 - 10x + 16 = 0

          x^2 - 8x - 2x + 16 = 0

          x(x-8)-2(x-8) = 0

             x = 2,8.


The common root is x = 2.

Answer 2

Answer: The common root is x = 2.

Step-by-step explanation:

Given:- x^2 - 7x + 10 = 0 and x^2 - 10x + 16 = 0

To find: common root

Step by step solution:

step 1:     x^2 - 7x + 10 = 0

step 2:    x^2 - 5x - 2x + 10 = 0

step 3:    x(x-5)-2(x-5) = 0

step 4:    x = 2,5.

now,

step 5:    x^2 - 10x + 16 = 0

step 6:    x^2 - 8x - 2x + 16 = 0

step 7:    x(x-8)-2(x-8) = 0

step 8:   x = 2,8.

∴The common root is x = 2.

#SPJ