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Nadusha1986 [10]
4 years ago
8

Using the quadratic formula to solve x^2=5-x what are the values of x?

Mathematics
2 answers:
kenny6666 [7]4 years ago
3 0
A
you have to solve x^2+x-5=0
So x=(-1 +/- sqrt(1^2+4*1*5))/2
x=(-1 +/- sqrt(21))/2
Law Incorporation [45]4 years ago
3 0

Answer:

Option a - x=\frac{-1\pm\sqrt{21}}{2}

Step-by-step explanation:

Given : Expression x^2=5-x

To find : What are the values of x?

Solution :

The quadratic formula of the quadratic equation ax^2+bx+c=0 is

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Comparing with general equation, x^2+x-5=0

where, a=1 ,b=1, c=-5

Substitute in the formula,

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-1\pm\sqrt{1^2-4(1)(-5)}}{2(1)}

x=\frac{-1\pm\sqrt{1+20}}{2}

x=\frac{-1\pm\sqrt{21}}{2}

Therefore, The value of x is x=\frac{-1\pm\sqrt{21}}{2}

So, Option a is correct.

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15, 11, 7, 3, -1, ... explicit formula and recursive formula
monitta

Recursive formula is: a_n = a_{n-1} -4

Explicit formula is: a_n = 19-4n

Step-by-step explanation:

Given sequence is:

15,11,7,3,-1

Here

a_1 = 15\\a_2 = 11\\a_3 = 7

First of all, we have to find the common difference

Common difference is the difference between consecutive terms of an arithmetic sequence

So,

d = a_2-a_1 = 11-15 = -4\\d = a_3-a_2 = 7-11 = -4

<u>Recursive Formula:</u>

A recursive formula is used to find the next term of an arithmetic sequence using previous term and common difference

General form of recursive formula for a given common difference d is:

a_n = a_{n-1} + d

Putting the value of d

a_n = a_{n-1} -4

<u>Explicit Formula:</u>

The explicit formula is given by:

a_n = a_1 + (n-1)d

Putting the first term and common difference

a_n = 15 + (n-1)(-4)\\a_n = 15 -4n+4\\a_n = 19-4n

Hence,

Recursive formula is: a_n = a_{n-1} -4

Explicit formula is: a_n = 19-4n

Keywords: Arithmetic sequence, common difference

Learn more about arithmetic sequence at:

  • brainly.com/question/726990
  • brainly.com/question/725998

#LearnwithBrainly

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A triangle has two sides of length 5 and 11. What is the smallest possible whole-number
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Step-by-step explanation:

The side is between 11-5 and 5+11

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Write the equation of a line in point-slope form whose slope is 7 and passes through the point (7, -2).
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m=7

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