Please Help! please describe in detail one efficient way to solve this problem and what makes this method efficient. also, describe in detail one inefficient way to solve this problem and what makes this method inefficient

7.5

Step-by-step explanation:

One efficient way is to first divide both sides by 4. This way, you can have the root on one side and a whole number on the other side. So now you have = 4. To get rid of the root, you can square both sides and get 2x - 1 = . Now you can solve this like any other equation and get x = 7.5. This method is efficient because it makes the next step very obvious, so it's not confusing.

One inefficient way to solve this problem is to first take 16 to the left to set the equation, then square both sides. This would leave you with - = 0. This equation is super confusing because there seems to be so many things you could do next, but it's hard to tell which one would be the right thing to do.

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.