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tatyana61 [14]
3 years ago
6

Solve the quadratic equation x2+2x+3​

Mathematics
2 answers:
Anastaziya [24]3 years ago
8 0

Answer:

-2+ sqrt(8)i or -2-sqrt(8)i

Step-by-step explanation:

adelina 88 [10]3 years ago
3 0

Answer:

x=i\sqrt{2} -1, x=-i\sqrt{2}-1

Step-by-step explanation:

Hoping the equation is x^2+2x+3 = 0

Rewrite so I can complete the square:

x^2+2x=-3

Take the square of half of 2 and square.

x^2+2x+1=-2

(x+1)^2=-2

x + 1=\sqrt{-2}

x=i\sqrt{2} -1, x=-i\sqrt{2}-1

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9-(6x+1)=3x+8 what is it thank you
Jobisdone [24]

Answer:

0=x

Step-by-step explanation:

9-(6x+1)=3x+8

9-6x-1=3x+8

9-8-1=3x+6x

9-9=9x

0=9x

0÷9=x

0=x

5 0
3 years ago
The length of a rectangle is 5 more than the width. Find the length and width of a rectangle if the area of the rectangle is 36
harkovskaia [24]

Answer:

width = 4 in

length = 9 in

Step-by-step explanation:

To solve this problem, write an expression for the length and use the area of a rectangle formula.

The formula for area of a triangle is A = lw

"A" is the area.

"l" is the length.

"w" is the width.

"The length of a rectangle is 5 more than the width". It is represented in an expression:

l = w + 5     The width plus 5 is the length.

We also know the area is 36 in². Using information we know, replace variables in the formula for area of a rectangle.

Substitute l = w + 5 and A = 36

A = lw

36 = (w + 5)w     Expand by multiplying w by the terms in the brackets.

36 = w² + 5w      Since the equation is quadratic, make it equate to 0.

36 - 36 = w² + 5w - 36   Subtract 36 from both sides

0 = w² + 5w - 36      Factor this. Use group factoring, which is when you replace the middle term (5w) with two terms that add to make 5w, and multiply to get the last term (-36).

0 = w² + 9w - 4w - 36      9w times -4w is -36. They also add to get 5w.

0 = (w² + 9w) + (-4w - 36)  Group the factors

0 = w(w + 9) + -4(w + 9)   Take out the common factor in each group.

0 = w(w + 9) + -4(w + 9)   Take out the new common factor binomial w+9

0 = (w + 9) (w - 4)    Fully factored equation.

w + 9 = 0       w - 4 = 0    Set each binomial to equal 0.

     w = -9            w = 4   Chose what makes sense to be the width.

The width cannot be a negative number, so the width is 4.

Since we know the width, we can find the length because the length is 5 more than the width.

l = w + 5

l = 4 + 5

l = 9      Length of the rectangle

Don't forget to include the units, inches.

Therefore the length is 9 inches and the width is 4 inches.

8 0
2 years ago
A sheet of paper has a perimeter of 39 in. if the width of the paper is 8.5 in . what is the length of the sheet of paper
Valentin [98]
If the perimeter is 39 what you have to do is 39 - 8.5 - 8.5 that will give you 22 and divide 22/2 and that gives you 11. So 11 is the length
5 0
3 years ago
Read 2 more answers
What two number multiply to 24 and add to -11
enot [183]

Answer:

8 and 3

Step-by-step explanation:

Brainliest Please

4 0
2 years ago
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20n^4+n^3+10n^2) / 10n^2
Zina [86]
Divide them
We'd get
2n^2+1/10n + 1
3 0
2 years ago
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