What is the value of x? leave your answer in simplest radical form.

x = 2.

Step-by-step explanation:

Given : A right triangle with two perpendicular sides 4 , 6.

To find : value of x .

Solution : We have given A right triangle with two perpendicular sides

Shortest leg = 4 unit

Longer leg = 6 unit.

Hypotenuse = x .

By the Pythagorean theorem :

(Hypotenuse)² = (Longer leg)²+ ( Shortest leg)².

Plug the values

(x)² = (6)²+ (4)².

(x)² = 36 + 16 .

(x)² = 52

Taking square root both sides

x = .

x =  .

x =   *.

x = 2.

Therefore, x = 2.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x