Step-by-step explanation:
Explanation:
Given:
−3x2+12x+1=0
This is in the form:
ax2+bx+c=0
with a=−3, b=12 and c=1
In order to decide which method to use, we can first examine the discriminant:
Δ=b2−4ac=122−4(−3)(1)=144+12=156
Since Δ>0 we can tell that the quadratic has 2 distinct real solutions, but because it is not a perfect square we can also tell that those solutions are irrational.
So there is no rational factorisation and we can discount the use of an AC method or similar.
We can use the quadratic formula or we can complete the square.
If we choose to use the quadratic formula, then we find:
x=−b±√b2−4ac2a
x=−b±√Δ2a
x=−(12)±√1562(−3)
x=−12±2√39−6
x=2±√393
When completing the square, note that b=12 is already divisible by a=−3 and by
Answer:
multiplication
Step-by-step explanation:
example:
8.29x10=82.9
8.29x100=129
however many zero's is however many decimal places moved
division does the opposite (it moves it left)
Answer:-20
Step-by-step explanation:
The answer is negative 20 because if you do -20 times 5 you get -100. So you now you are right when you did a check step that worked
Answer:
one atom of that element
Step-by-step explanation:
For example, F1 means one atom of the element Fluorine
Answer:
(5.5, 2.5)
Step-by-step explanation:
Plug in X and Y and guess is how I did it