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3 years ago

Thank you to anyone who answers .

Mathematics

1 answer:

pantera1 [17]3 years ago

5 0

Answer:

last one

Step-by-step explanation:

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Solve the equation: k^2+5k+13=0

mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

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

From the question

a = 1 , b = 5 , c = 13

So we have

$k = \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)} \\ = \frac{ - 5 \pm \sqrt{25 - 52} }{2} \\ = \frac{ - 5 \pm \sqrt{ - 27} }{2} \: \: \: \: \: \: \\ = \frac{ - 5 \pm3 \sqrt{3} \: i}{2} \: \: \: \: \: \:$

<u>Separate the solutions</u>

$k_1 = \frac{ - 5 + 3 \sqrt{3} \: i }{2} \: \: \: \: or \\ k_2 = \frac{ - 5 - 3 \sqrt{3} \: i}{2}$

The equation has complex roots

<u>Separate the real and imaginary parts</u>

We have the final answer as

$k_1 = - \frac{5}{2} + \frac{3 \sqrt{3} }{2} \: i \: \: \: \: or \\ k_2 = - \frac{5}{2} - \frac{3 \sqrt{3} }{2} \: i$

Hope this helps you

8 0

3 years ago

Sarah and Jane both brought new storage containers for packing away winter clothing. Sarah’s storage containers are cubic meters

kobusy [5.1K]

Answer: the answer is Sarah

Step-by-step explanation:

Just got it correct on Plato

4 0

3 years ago

John makes $400 per week. What does it mean for him to get a 150% salary raise? Explain in words and then give an example showin

Aneli [31]

He’s gotten a 200$ raise

5 0

3 years ago

What is the quotient of a number and 5

KengaRu [80]

Sorry but that's an unclear question, can you double check to see if you included everything, and also check to see the possible answers?

3 0

3 years ago

Find the value of x ?

enyata [817]

Answer:

Step-by-step explanation:

∠E = ∠G

∠D= ∠F because it’s a parallelogram ==> D=F=2x+12 and E=G=5x

5x+2x+12=180

7x=168

X=24

Solution 2:

2*5x+2*(2x+12)=360

10x+4x+24=360

14x=360-24=336

X=336/14

X=24

4 0

3 years ago

Read 2 more answers