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Troyanec [42]
3 years ago
14

Solve the equation -x^2+5x+9=0

Mathematics
1 answer:
vivado [14]3 years ago
6 0

-x² + 5x + 9 = 0

On comparing this equation to: ax²+bx+c= 0

We get, a = -1; b = 5; c = 9

Solving by quadratic formula,

x = [-b ± √(b²-4ac)]/2a

=> x = [-5 ± √{5²-4(-1)(9)}]/2(-1)

=> x = [-5 ± √(25-(-36)]/-2

=> x = [-5 ± √(25+36)]/-2

=> x = [-5 ± √61]/-2

=> x = [-5 + √61]/-2 or [-5 - √61]/-2

=> x = (-5/-2) + (√61/-2) or (-5/-2) + (-√61/-2)

=> x = (5/2) + (-√61/2) or (5/2) + (√61/2)

So, x = (5/2) + (-√61/2) or (5/2) + (√61/2)

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Novosadov [1.4K]

The property used in the equation is called Distributive property.

<h3>What is Distributive property?</h3>

The distributive Property States that when a factor is multiplied by the sum/addition of two terms, it is essential to multiply each of the two numbers by the factor, and finally perform the addition operation.

Given an equation, 4 x (5 + 6) = (4 x 5) + (4 x 6)

The property used in this equation is distributive property.

a(b+c) = (a*b)+(a*c)

Hence, The property used in the equation is called Distributive property.

For more references on Distributive property, click;

brainly.com/question/5637942

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8 0
1 year ago
What is 8.2951 rounded to the nearest hundredth?
amid [387]

Answer: 8.29 still...

Step-by-step explanation:

When your doing the nearest hundreth, the thousandth has to be close to 10 to make it a diffrent number, if it WAS, then it would be 8.30

6 0
3 years ago
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What are the last 2 digits of 7 to the power of 2018. This question was on a past exam paper.
Xelga [282]

Answer:

49

Step-by-step explanation:

  • Try finding pattern of last two digits of 7 to the power of some numbers.

7^1=07

7^2=49

7^3=343

7^4= 2301

7^5= 16807

  • so , the pattern is, 07,49,43,01
  • so, if we start writing all numbers from 1 to 2018 , four number in each line, 2018 will fall in the second column.
  • so it will have 49 as the  last 2 digits [by seeing this pattern : 07,49,43,01 ]
6 0
3 years ago
The equation P = 16,250 + 75n can be used to determine the population, P, of a city after n years. Which statements are true? Se
I am Lyosha [343]

Answer:

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Step-by-step explanation:

Since the initial population is 15,000, we want to know how many people are going to Jonesville each year.  Assuming that in 2001 and in 2002, each year adds 1,250 people and that it is constant.  The equation is 15000+1250x in which 15,000 represents the initial number and 1250 is the amount of people added each year followed by x which is the number in years.

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2 years ago
What is the domain of the function f(x)=45/(x-23)?
galben [10]
Domain is the set of numbers you can use
usually, domain=all real numbers except those that divide by zero

so find those exceptions
find what numbers make deonenator equal to 0 and exclude them
x-23 is denom
x-23=0
x=23

doman is all real numbers except 23
5 0
4 years ago
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