What is 4xsquared minus 9 equals 0

Step-by-step explanation:

4x^2 - 9 = 0

4x^2 = 9

2x = 3

x = +-3/2

I'm always happy to help :)

x  = ±3/2

Step-by-step explanation:

4x^2 - 9=0

Add 9 to each side

4x^2 -9+9 =0+9

4x^2 =9

Divide each side by 4

4x^2/4 = 9/4

x^2 = 9/4

Take the square root of each side

sqrt(x^2) = ±sqrt(9/4)

x  = ±sqrt(9)/sqrt(4)

x  = ±3/2

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

step-by-step explanation: