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kolezko [41]
3 years ago
8

Which are the solutions of the quadratic equation x^2=-5x-3

Mathematics
1 answer:
frutty [35]3 years ago
5 0
The correct answer would be \frac{-5 +/-  \sqrt{13} }{2}

In order to solve for this you must first get the equation equal to 0. 

<span>x^2=-5x-3 ----> add 5x to both sides. 
x^2 + 5x = -3 ----> add 3 to both sides.
x^2 + 5x + 3 = 0

Now knowing this we can use the coefficients of each one in descending order of power as a, b and c. 

a = 1 (because it is the coefficient to x^2)
b = 5</span> (because it is the coefficient to x)
c = 3 (because it is the end number)

Now we can plug these values into the quadratic equation. 

\frac{-b +/-  \sqrt{b^{2} - 4ac } }{2a}

\frac{-5 +/- \sqrt{5^{2} - 4(3)(1) } }{2(1)}

\frac{-5 +/- \sqrt{13} }{2}

And those would be your two answers.
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Answer:

x = 165, y = 15

Step-by-step explanation:

1. Well, what does supplementary mean? - The angles add up to 180°.

2. Let's form an equation: x + y = 180°

3. Let's say x is the larger angle and y is the smaller angle.

4. Let's form another equation: x = 150 + y

5. Put the two equations next to each other:

x + y = 180

x = 150 + y

6. We know what x is equaled to, so let's plug it into the first equation!

150 + y + y = 180

150 + 2y = 180

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7. Now, we know what y is, let's find x!

x + 15 = 180

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x = 165

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2 years ago
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LUCKY_DIMON [66]
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3 years ago
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Levart [38]

Answer:

P=4

Step-by-step explanation:

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3 years ago
I already did the work but I wanted to double change to make sure my answer are correct. The main ones I’m not sure about are 4,
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Answer:

4. Composites have many non distinct prime factors, which are used more than once, such as 2,2,5,5 (the prime factors of every multiple of 100). What that means is that there can be two, three, four, or, in fact, infinitely many composite numbers that can have the same distinct prime factors.

Step-by-step explanation:

So, yes.

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