PLEASE HELP!! Consider the equation:
0=x^2+4x+1
1) Rewrite the equation by completing the square.

2) What are the solutions to the equation?

The difference of squares identity can be written:

A

2

−

B

2

=

(

A

−

B

)

(

A

+

B

)

We can complete the square and use this with

A

=

(

x

−

2

)

and

B

=

√

3

as follows:

0

=

x

2

−

4

x

+

1

0

=

x

2

−

4

x

+

4

−

3

0

=

(

x

−

2

)

2

−

(

√

3

)

2

0

=

(

(

x

−

2

)

−

√

3

)

(

(

x

−

2

)

+

√

3

)

0

=

(

x

−

2

−

√

3

)

(

x

−

2

+

√

3

)

Hence:

x

=

2

±

√

3

1) 3=(x+2)^2.
2)A)x=-2 squareroot of 3

Step-by-step explanation:

khan

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

1.30

step-by-step explanation: