Without solving the quadratic equation , find the sum of the squares of its roots,

13

Step-by-step explanation:

Take out the common factor of 2 using the inverse of the distributive property.

2(x^2 - 5x + 6)

Now factor the trinomial

(x - 2)(x - 3)

And find the 2 roots.

x1 -2  = 0

x1 = 2

x2 - 3 = 0

x2 = 3

x1^2 + x2^2 = 2^2 + 3^2 = 4 + 9 = 13

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.