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postnew [5]
2 years ago
15

N^2- 5n +4=0 quadratic equation

Mathematics
2 answers:
luda_lava [24]2 years ago
7 0

Answer:

n = 1, 4

Step-by-step explanation:

Step 1: Write equation

n² - 5n + 4 = 0

Step 2: Solve for <em>n</em>

<u>Factor:</u> (n - 4)(n - 1) = 0

<u>Find roots:</u> n = 1, 4

Step 3: Check

<em>Plug in n to verify if it's a solution.</em>

1² - 5(1) + 4 = 0

1 - 5 + 4 = 0

-4 + 4 = 0

0 = 0

4² - 5(4) + 4 = 0

16 - 20 + 4 = 0

-4 + 4 = 0

0 = 0

Cerrena [4.2K]2 years ago
4 0
If you solve by factoring this would be the process of it
Step 1: Factor left side of the the equation
(n-1)(n-4)=0
Step 2: set factors equal 0
n-1=0 or n-4=0
then you would solve both like a regular equation
n=1 or n=4 would be the answers
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Answer:

1. 15

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Step-by-step explanation:

The two sequence are geometric progression GP, because they follow a constant multiple (common ratio)

The nth term of a GP is;

Tn = ar^(n-1)

Where;

a = first term

r = common ratio

For the first sequence;

The common ratio r is

r = T3/T2 = 540/90 = 6

r = 6

T2 = ar^(2-1) = ar

T2 = 90 = ar

Substituting the values of r;

90 = a × 6

a = 90/6

a = 15

First term = 15

2. The sam method applies here.

Common ratio r = T3/T2 = 128/32 = 4

r = 4

T2 = ar^(2-1) = ar

T2 = 32 = ar

Substituting the values of r;

32 = a × 4

a = 32/4

a = 8

First term = 8

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