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adell [148]
2 years ago
10

What are the coordinates of the roots of the equation x sqaured + 4x + 3= 0

Mathematics
1 answer:
scZoUnD [109]2 years ago
8 0

Answer:

a

x

2

+

b

x

+

c

=

0

the formula for the roots is

x

=

−

b

±

√

b

2

−

4

a

c

2

a

(

1

)

Identify the values for

a

,

b

,

&

c

x

2

+

4

x

+

3

=

0

cmp

a

x

2

+

b

x

+

c

=

0

a

=

1

b

=

4

c

=

3

(

2

)

Substitute these numbers into eh formula

x

=

−

4

±

√

4

2

−

(

4

×

1

×

3

)

2

×

1

(

3

)

Carefully proceed and do the calculations

x

=

−

4

±

√

16

−

12

2

x

=

−

4

±

√

4

2

x

=

−

4

±

2

2

now calculate the two separate solutions

x

1

=

−

4

+

2

2

=

−

2

2

=

−

1

x

2

=

−

4

−

2

2

=

−

6

2

=

−

3

Answer link

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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A motorboat travels 220 kilometers in 4 hours going upstream. It travels 260 kilometers going downstream in the same amount of t
aliya0001 [1]

Answer:    The rate of boat is 60 kmh.

                  The rate of current is 5 kmh.

Step-by-step explanation:

Alright, lets get started.

Suppose the rate of boat in still water is : b kmh

Suppose the rate of current is  : c kmh

When the boat is going upstream, the relative speed will be : (b-c)

When the boat is going downstream, the relative speed will be: (b+c)

Boat travels 220 kilometers in 4 hours going upstream.

speed=\frac{distance}{time}

(b-c)=\frac{220}{4}   .................. equation (1)

It travels 260 kilometers going downstream in the same amount of time.

(b+c)=\frac{260}{4}  ................... equation (2)

Adding equation 1 and 2

b-c+b+c=\frac{220}{4}+\frac{260}{4}

2b=\frac{480}{4}

2b=120

b=60

Plugging the value of b as 60 in equation 2

60+c=\frac{260}{4}

60+c=65

c=5

Hence the rate of boat is 60 kmh.

Hence the rate of current is 5 kmh.

Hope it will help :)

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3 years ago
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4 years ago
A new Youth Sports Center is being built in Hadleyville. The perimeter of the rectangular playing field is 536  yards. The lengt
Aleksandr [31]

Answer:

W = 58 yards, L = 210 yards

Step-by-step explanation:

P = 2 (L + W)

L = 4w - 22

P = 2 (4W - 22 + W)

536 = 8W - 44 + 2W

536 = 10W - 44

10 W = 536 + 44

10W = 580

W = 58 yards

Since L = 4W - 22

L = 4 (58) - 22

L = 232 - 22

L = 210 yards

5 0
3 years ago
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