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2 years ago

15

How do you solve quadratic equations?

1 answer:

masha68 [24]2 years ago

8 0

In any equation there is a variable (usually x). In a quadratic equation there is a lot involved.

-B (+or-) sqrt of b^2 - 4 x A x C
________________________ divide it by
2 x A
There is usually an original equation that looks like: Ax^2 + Bx + C = 0 Use the variables from the equation to the left to fill the upper equation. (You can also look up a better formula if confused).

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2 years ago

1.)Given the recursive definition LaTeX: a_{n+1}=2\cdot a_n+1a n + 1 = 2 ⋅ a n + 1, and that LaTeX: a_1=1a 1 = 1, find LaTeX: a_

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1) 1023

2) 8

Step-by-step explanation:

1)

Given:

$a_{n+1}=2\cdot a_n + 1$ and $a_1 = 1$

Then, the next table can be computed (only the first terms are explicitely shown)

n $a_n$

1 1

2 $a_{2}=2\cdot 1 + 1 =$ 3

3 $a_{3}=2\cdot 3 + 1 =$ 7

4 15

5 31

6 63

7 127

8 255

9 511

10 1023

2)

Given

$t_n=n^2-2n$

Then, the next table can be computed

n $t_n$

1 $t_1=1^2-2(1) =$ -1

2 $t_2=2^2-2(2) =$ 0

3 $t_3=3^2-2(3) =$ 3

4 $t_4=4^2-2(4) =$ 8

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2 years ago