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Zina [86]
3 years ago
10

What is the positive solution of 3x^2-10x-8=0?

Mathematics
1 answer:
yarga [219]3 years ago
7 0

Answer:

4

Step-by-step explanation:

Explanation:

D

=

d

2

=

b

2

−

4

a

c

=

100

+

96

=

196

-->  

d

=

±

14

There are 2 real roots:

x

=

−

b

2

a

±

d

2

a

=

10

6

±

14

6

=

5

3

±

7

3

The positive real root is :  

12

3

=

4

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Find the linearization L(x) of the function at a. <br> f(x) = x3/4, a = 81
Zolol [24]

Please note that your x^3/4 is ambiguous.  Did you mean (x^3)  divided by 4
or did you mean x to the power (3/4)?  I will assume you meant the first, not the second.  Please use the "^" symbol to denote exponentiation.

If we have a function f(x) and its derivative f'(x), and a particular x value (c) at which to begin, then the linearization of the function f(x) is

f(x) approx. equal to  [f '(c)]x + f(c)].

Here a = c = 81.

Thus, the linearization of the given function at a = c = 81 is

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Note that f '(c) is the slope of the line and is equal to (3/4)(81^2), and f(c) is the function value at x=c, or (81^3)/4.

What is the linearization of f(x) = (x^3)/4, if c = a = 81?

It will be f(x) (approx. equal to) 
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