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kvv77 [185]
4 years ago
12

Solve by completing the square: x^2 + 7x + 4 = 0

Mathematics
1 answer:
Len [333]4 years ago
5 0

Answer:

x

2

+

7

x

−

4

=

0

Add  

4

to both sides of the equation.

x

2

+

7

x

=

4

To create a trinomial square on the left side of the equation, find a value that is equal to the square of half of  

b

.

(

b

2

)

2

=

(

7

2

)

2

Add the term to each side of the equation.

x

2

+

7

x

+

(

7

2

)

2

=

4

+

(

7

2

)

2

Simplify the equation.

Tap for more steps...

x

2

+

7

x

+

49

4

=

65

4

Factor the perfect trinomial square into  

(

x

+

7

2

)

2

.

(

x

+

7

2

)

2

=

65

4

Solve the equation for  

x

.

Tap for more steps...

x

=

±

√

65

2

−

7

2

The result can be shown in multiple forms.

Exact Form:

x

=

±

√

65

2

−

7

2

Decimal Form:

x

=

0.53112887

−

7.53112887

Step-by-step explanation:

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Answer:

400

Step-by-step explanation:

718-331

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Rounding off to the nearest hundredth the answer is 400

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Inessa [10]

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Read 2 more answers
The ordered pair(5,-3) is a solution to which of the following inequalities? a. y≥−2x+8 b. −2y&lt;3x−9 c. y−2x&gt;5 d. 4y+2x≤−1
stiks02 [169]

Answer:

Option d. 4y+2x\leq -1

Step-by-step explanation:

we know that

If a ordered pair is a solution of an inequality, then the ordered pair must be satisfy the inequality

Verify each case

case a) y\geq2x+8

we have

x=5, y=-3

Substitute the value of x and the value of y in the inequality and then compare the results

-3\geq2(5)+8

-3\geq18 -----> is not true

therefore

the ordered pair is not a solution

case b) -2y

we have

x=5, y=-3

Substitute the value of x and the value of y in the inequality and then compare the results

-2(-3)

6 -----> is not true

therefore

the ordered pair is not a solution

case c) y-2x>5

we have

x=5, y=-3

Substitute the value of x and the value of y in the inequality and then compare the results

-3-2(5)>5

-13>5 -----> is not true

therefore

the ordered pair is not a solution

case d) 4y+2x\leq -1

we have

x=5, y=-3

Substitute the value of x and the value of y in the inequality and then compare the results

4(-3)+2(5)\leq -1

-2\leq -1 -----> is  true

therefore

the ordered pair is a solution

7 0
4 years ago
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