If the sides of a square measure 10 square root 6 units then find the length of the diagonal

Length of the diagonal = 20√3 units

Step-by-step explanation:

Given:

Side of square = 10√6 units

Find:

Length of the diagonal

Computation:

Using Pythagorean theorem.

Length of the diagonal = √2(a)²

Length of the diagonal = √2(10√6)²

Length of the diagonal = √1200

Length of the diagonal = 20√3 units

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15