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jok3333 [9.3K]
3 years ago
14

If using the method of completing the square to solve the quadratic equation

Mathematics
1 answer:
Alika [10]3 years ago
7 0

Answer:

x=\frac{13}{2}+\frac{1}{2}\sqrt{149}    

Step-by-step explanation:

x=

−b±√b2−4ac

2a

x=

−(−13)±√(−13)2−4(1)(5)

2(1)

x=

13±√149

2

x=

13

2

+

1

2

√149 or x=

13

2

+

−1

2

√149

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The common ratio of a geometric series is 1/4 and the sum of the first 4 terms is 170.
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Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = a(1 - r^n)/(1 - r)

Where

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a represents the first term in the sequence.

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From the information given,

r = 1/4 = 0.25

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Therefore, the expression for the sum of the 4 terms, S4 is

170 = a(1 - 0.25^4)/(1 - 0.25)

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170 = 1.328125a

a = 170/1.328125

a = 128

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