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sergejj [24]
3 years ago
12

What are the solutions of x2 + 10x + 16 = 0?

Mathematics
2 answers:
Ivahew [28]3 years ago
8 0

x

=

−

8

,

−

2

Explanation:

Given:

x

2

+

10

x

+

16

=

0

To complete the square put the two

x

terms on the left and the constant on the right of the equation:

x

2

+

10

x

=

−

16

Complete the square by multiplying the

x

-term by

1

2

:

1

2

⋅

10

=

5

and adding the square of this number to the right side of the equation:

5

2

=

25

(

x

+

5

)

2

=

−

16

+

25

UNDERSTANDING CHECK:

(

x

+

5

)

2

=

x

2

+

10

x

+

25

.

The

+

25

was not in the original equation. If we add

+

25

to one side of the equation, we must add the same amount to the other side of the equation to keep it balanced.

(

x

+

5

)

2

=

9

To solve, square root both sides of the equation:

√

(

x

+

5

)

2

=

±

√

9

x

+

5

=

±

3

x

=

−

5

±

3

x

=

−

5

+

3

=

−

2

,

x

=

−

5

−

3

=

−

8

x

=

−

8

,

−

2

jolli1 [7]3 years ago
4 0

The answer is -2,-8

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Nutka1998 [239]

Answer:

A. W

Step-by-step explanation:

Because this is a rigid transformation, quadrilaterals WXYZ and ABCD are congruent. Corresponding parts of corresponding figures are congruent, so W is congruent to A and because we know the measure of angle A, you also know the angle measure of W.

8 0
2 years ago
X+3y-2z=1 2x-y+2z=1 -x-4y+6z=2
melomori [17]
X + 3y - 2z = 1
-x - 4y + 6z = 2
-------------------add
-y + 4z = 3

x + 3y - 2z = 1....multiply by -2
2x - y + 2z = 1
------------------
-2x - 6y + 4z = -2 (result of multiplying by -2)
2x - y + 2z = 1
-----------------add
-7y + 6z = -1

-y + 4z = 3 .....multiply by -7
-7y + 6z = -1
-----------------
7y - 28z = -21 (result of multiplying by -7)
-7y + 6z = -1
-----------------add
- 22z = -22
z = -22/-22
z = 1 <===

-y + 4z = 3
-y + 4(1) = 3
-y + 4 = 3
-y = 3 - 4
-y = -1
y = 1 <===

x + 3y - 2z = 1
x + 3(1) - 2(1) = 1
x + 3 - 2 = 1
x + 1 = 1
x = 1 - 1
x = 0 <==

so x = 0, y = 1, and z = 1



4 0
2 years ago
What is 3/4 divided by 1/6
pantera1 [17]

Answer:

9/2

Step-by-step explanation:

5 0
3 years ago
Wich best describes the figure that is represented by the following coordinate? A ( - 3, 4) B ( 3 ,4) C ( 3, - 2) D ( - 3, - 2)
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The answer is a rectangle
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2 years ago
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The constraint 5x 1 + 3x 2 ≤ 150 is modified to become a goal equation, and priority one is to avoid overutilization. Which of t
Kryger [21]

Answer:

c. Minimize P,d1+; 5x1 + 3x2 + d1+ = 150

Step-by-step explanation:

5x1 + 3x2 = 150. To convert an equality, we simply add an “artificial” variable (d1) to the equation: 5X1 + 3X2 + d1 = 150 An artificial variable is a variable that has no physical meaning in terms of a real-world LP problem. It simply allows us to create a basic feasible solution to start the simplex algorithm. An artificial variable is not allowed to appear in the final solution to the problem. Here in this problem to avoid over utilization, we introduce this artifical variable.

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