-3x^2 - 10x + 5 = 0
Quadratic formula:
-b +/- sqrt[b^2 - 4(a)(c)]/2(a)
So. . . 10 +/- sqrt[(10^2) - 4(-3)(5)]/2(-3)
10 +/- sqrt[100+60]/ -6
10 +/- sqrt[160]/-6
Answer:

Step-by-step explanation:
The absolute maximum of a continuous function
is where
. Therefore, we must differentiate the function and then set
and
to determine the value of
:







Therefore, when
, the absolute maximum of the function is
.
I've attached a graph to help you visually see this.
Answer:
x = 3 ± 
or
x = 3 +
, x = 3 - 
Step-by-step explanation:
given f(x) = 2(x - 3)^2 - 8, find when f(x) = 40
So, we plug in 40 for f(x) in the 1st equation and solve for x. (Aim to got x on its own)
40 = 2 (x - 3)^2 - 8
+ 8 + 8
-----------------------------
48 = 2 (x - 3)^2
/2 /2
-----------------------------
24 = (x - 3)^2
square root both sides
--------------------
= x - 3
x = 3 ± 
25978.5964401. You can type it in a calculator and get the same answer!(:
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