What are the solutions of the quadratic equation 0 = 4(x − 3)2 − 16?

x=1,5

Step-by-step explanation:

0 = 4(x − 3)^2 − 16

add 16 to each side

16 = 4(x − 3)^2 − 16+16

16 = 4(x − 3)^2

divide by 4

16/4 =  4/4(x − 3)^2

4 = (x-3)^2

take the square root of each side

+- sqrt (4) = sqrt( (x-3)^2)

+- 2 = (x-3)

add 3 to each side

3+- 2 = x

3+2 = x     and 3-2 = x

5=x       and 1=x

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.