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Lena [83]
3 years ago
15

Help me plzzzz (x+1)^2 -3(x+2) If you could give an explanation that would be great!

Mathematics
1 answer:
Margarita [4]3 years ago
4 0

Answer:

x^2-x-5

Step-by-step explanation:

1. expand the square

(+1)(+1)−3(+2)

2. distribute

(+1)+1(+1)−3(+2)

3. distribute

^2++1(+1)−3(+2)

4. multiply by 1

^2+++1−3(+2)

5. combine like terms

^2+2+1−3(+2)

6. distribute

^2+2+1−3−6

7. subtract the numbers

^2+2−5−3

8. combine like terms

^2−−5

9. gg you are done

^2−−5

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Use the quadratic formula to solve x^2+8x+9=0
Tju [1.3M]
None of your options, not via complete the square nor quadratic the formula.

Solve for x over the real numbers:
x^2 + 8 x + 9 = 0

x = (-8 ± sqrt(8^2 - 4×9))/2 = (-8 ± sqrt(64 - 36))/2 = (-8 ± sqrt(28))/2:
x = (-8 + sqrt(28))/2 or x = (-8 - sqrt(28))/2

sqrt(28) = sqrt(4×7) = sqrt(2^2×7) = 2sqrt(7):
x = (2 sqrt(7) - 8)/2 or x = (-2 sqrt(7) - 8)/2

Factor 2 from -8 + 2 sqrt(7) giving 2 (sqrt(7) - 4):
x = 1/22 (sqrt(7) - 4) or x = (-2 sqrt(7) - 8)/2

(2 (sqrt(7) - 4))/2 = sqrt(7) - 4:
x = sqrt(7) - 4 or x = (-2 sqrt(7) - 8)/2

Factor 2 from -8 - 2 sqrt(7) giving 2 (-sqrt(7) - 4):
x = sqrt(7) - 4 or x = 1/22 (-sqrt(7) - 4)

(2 (-sqrt(7) - 4))/2 = -sqrt(7) - 4:

Answer: x = sqrt(7) - 4 or x = -sqrt(7) - 4_____________________________________________________

Solve for x:
x^2 + 8 x + 9 = 0

Subtract 9 from both sides:
x^2 + 8 x = -9

Add 16 to both sides:
x^2 + 8 x + 16 = 7

Write the left hand side as a square:
(x + 4)^2 = 7

Take the square root of both sides:
x + 4 = sqrt(7) or x + 4 = -sqrt(7)

Subtract 4 from both sides:
x = sqrt(7) - 4 or x + 4 = -sqrt(7)

Subtract 4 from both sides:
Answer:  x = sqrt(7) - 4 or x = -4 - sqrt(7)
4 0
3 years ago
According to the fundamental theorem of algebra, which polynomial function has exactly 6 roots? f (x) = 5 x superscript 4 baseli
MariettaO [177]

The polynomial with 6 roots is the one of degree 6, so the correct option is:

f(x) = 7x^6 + 3x^2 + 12

<h3>Which polynomial function has 6 roots?</h3>

You need to remember that if p(x) is a polynomial of degree N, then it has N roots (such that some of these N roots may be equal or not).

Then we just need to find the polynomial of degree 6. (Remember that the degree represents the maximum exponent of the polynomial).

In this case, the only one of degree 6 is:

f(x) = 7x^6 + 3x^2 + 12

Which is the last option.

If you want to learn more about polynomials, you can read:

brainly.com/question/4142886

#SPJ4

4 0
3 years ago
ROBERT bought 2 packages of cookies for $6.00. How much would 3 packages of cookies cost?
babunello [35]

Answer:

9.00$

Step-by-step explanation:

6 divided by 2 = 3 so each pakage cost 3$ so it would be 9.00$

5 0
3 years ago
Javier wants to buy a new video game that costs $62. Last week he saved $20 for the
Sloan [31]

Answer: 9h + 20 = 62

Step-by-step explanation:

he has 20 dollars now he needs 42 more so 9h is how much he earns multiplied by h how many hours he needs to work and you would add 20 onto that for the money he already saved and set that equal to the amount he needs

7 0
3 years ago
Simplify. t^-6 * t^2
Deffense [45]
<span>t^-6 * t^2
= t^-4

hope it helps</span>
8 0
3 years ago
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