10m^2-20m+48=0 solve by completing the square please show your work please.

m = {-6, -4}

Step-by-step explanation:

Subproblem 1:

Set the factor '(6 + m)' equal to zero and attempt to solve:

Simplifying

6 + m = 0

Solving

6 + m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + m = 0 + -6

Combine like terms: 6 + -6 = 0

0 + m = 0 + -6

m = 0 + -6

Combine like terms: 0 + -6 = -6

m = -6

Simplifying

m = -6

Subproblem 2:

Set the factor '(4 + m)' equal to zero and attempt to solve:

Simplifying

4 + m = 0

Solving

4 + m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + m = 0 + -4

Combine like terms: 4 + -4 = 0

0 + m = 0 + -4

m = 0 + -4

Combine like terms: 0 + -4 = -4

m = -4

Simplifying

m = -4

65 feet

Step-by-step explanation:

Given that,

Length of a rectangle, L = 60 feet

Breadth of a rectangle, B = 25 feet

We need to find the diagonal length of the stage. We know that for a rectangle each angle is 90 degrees. Let x is the length of the diagonal. So,

So, the length of the diagonal is 65 feet. Hence, the correct option is (a).