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bekas [8.4K]
3 years ago
8

Question 4 options:

Mathematics
1 answer:
IgorLugansk [536]3 years ago
5 0
7-k i hope thiis helps
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What are the exact solutions of x2 − 5x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b square
geniusboy [140]

Answer:

x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}

Step-by-step explanation:

So the question here is asking you to use the quadratic formula which is expressed as: x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\

A quadratic can generally be expressed as: y=ax^2+bx+c

So using the equation you gave: 0=x^2-5x-1

We can identify the following values: a=1, b=-5, c=-1

Btw the equation explicitly write "1" as the coefficient of x, but since it's not provided it's implied that it's 1.

So plugging in the known values, we get the following equation:

x=\frac{5\pm\sqrt{(-5)^2-4(1)(-1)}}{2(1)}\\\\x=\frac{5\pm\sqrt{25+4}}{2}\\\\x=\frac{5\pm\sqrt{29}}{2}\\\\x=2.5+\frac{\sqrt{29}}{2}\\\\x=2.5-\frac{\sqrt{29}}{2}

The last step just consists of taking the + and - solution, and since it asks for exact solutions you leave the 29 under the radical, and you don't approximate. There is no further simplification that can be done here.

5 0
1 year ago
HELP ASAP PLZ. This is vital to my math grade, This is the first of three questions I have. It is interval notation. The answer
katen-ka-za [31]

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Step-by-step explanation:

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The sum of two numbers is 80. Their difference is 22.
AVprozaik [17]

Answer:

51 + 29

Step-by-step explanation:

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The altitude on a ski trail drops 2 feet for
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In the equation 0.75 - 5/8s = 44, how do your combine the like terms?
Mnenie [13.5K]

Answer:

and let's then do away with the denominators, by multiplying both sides by the LCD of all fractions, in this case, the LCD will be 8, and then we'll combine the like-terms, but anyway, let's proceed.

Step-by-step explanation:

3 0
3 years ago
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