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gavmur [86]
3 years ago
15

What numbers add up to-15 but when multiplied gives me-54

Mathematics
1 answer:
OLga [1]3 years ago
6 0
The answer would be -18 and 3
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Find the discriminant, and determine the number of real solutions. then solve x^2 +8x+20=0
vodomira [7]

Answer:

Part 1) The quadratic equation has zero real solutions

Part 2) The solutions are

x_1=-4+2i   and x_2=-4-2i

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^{2}+8x+20=0  

so

a=1\\b=8\\c=20

The discriminant is equal to

D=(b^{2}-4ac)

If D=0 -----> the quadratic equation has only one real solution

If D>0 -----> the quadratic equation has two real solutions

If D<0 -----> the quadratic equation has two complex solutions

<em>Find the value of D</em>

D=8^{2}-4(1)(20)=-16 -----> the quadratic equation has two complex solutions

<em>Find out the solutions</em>

substitute the values of a,b and c in the formula

x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(20)}} {2(1)}

x=\frac{-8(+/-)\sqrt{-16}} {2}

Remember that

i=\sqrt{-1}

x=\frac{-8(+/-)4i} {2}

x_1=\frac{-8(+)4i} {2}=-4+2i

x_2=\frac{-8(-)4i} {2}=-4-2i

8 0
3 years ago
Solve the question on the image ​
Nataly [62]
Times the whole equation by 15 since the LCM of 3 and 5 is 15.
You get: 5p-3p-6= 60
Rearrange to get: 2p=66
p=33
5 0
2 years ago
Sarah earns $10 per hour while babysitting and $20 per hour while cleaning houses. Sarah will need to earn $1000 during the summ
kozerog [31]
Why not just work for 50 hrs on house cleaning and get 1000$
4 0
3 years ago
Melanie invests $4,000 into an account offering 4% interest compounded annually. Gina invests $4,000 into a simple interest savi
VashaNatasha [74]
Melanie: 
Amount after 5 years = 4000(1 + 0.04)⁵ = $4867

Gina:
Amount after 5 years = 4000 + 5(0.045 x 4000) = $4900

Answer: Gina has the greater balance and her balance is $4900.
4 0
2 years ago
Read 2 more answers
What is the solution?
Leona [35]

Answer:

1200c^3

Step-by-step explanation:

cut the shape it to half with a square and a prism and calculate them separately then add the volume!

Hope this helps! ;-)

3 0
2 years ago
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