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zepelin [54]
3 years ago
11

Solving quadratic equation using the completing method.(a).x^2+6x+1=0​

Mathematics
2 answers:
irina1246 [14]3 years ago
7 0

Answer:

x = -3 + 2\sqrt2  \ , \ x = -3 - 2\sqrt2

Step-by-step explanation:

x² + 6x + 1 = 0

a = 1 , b = 6 , c = 1

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{-6 \pm \sqrt{36-4}}{2}\\\\x=\frac{-6 \pm \sqrt{32}}{2}\\\\x= \frac{-6 \pm \sqrt{16 \times 2}}{2}\\\\x = \frac{-6 +4\sqrt2 }{2}\\\\x = -3 + 2\sqrt2  \ , \ x = -3 - 2\sqrt2

stich3 [128]3 years ago
6 0

Answer:

see below

Step-by-step explanation:

Given quadratic:

x² + 6x + 1 = 0

Solution

Take the first two terms, and make a complete square.

If the coefficient of x² is not equal to 1, divide the equation by the coefficient to make the job easier.  It equals one in this case.

We know from

(x+a)² = x² + 2a + a²

so here a =3, or (x+3)² = x² + 6x + 9

Put that in the equation

x² + 6x + 9 -9 +1 = 0

the term -9 is to balance the +9 that we added so as not to change the equation.

Rewrite and simplify

x² + 6x + 9 = 8

(x+3)² = 2(2²)

take square-root on both sides

(x+3) = +/- 2sqrt(2)

therefore

x = -3 +/- 2sqrt(2)

or

x = 3+2sqrt(2),  3-2sqrt(2)

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What is the length of the hypotenuse of a right triangle with legs of 50 ft. and 120 ft. ?
MrMuchimi

Answer: 130 ft

Step-by-step explanation:

a^2 + b^2 = c^2

Where a and b are the legs that form the right angle and c is the hypotenuse (the side directly opposite of the right angle)

50^2 + 120^2 = c ^2

2,500 + 14,400 = c^2

16,900 = c^2

Take the square root of 16,900 to get c.

C = 130

Hypotenuse length is 130

6 0
3 years ago
1 Calculate:
3241004551 [841]
(a)=940
(b)=1680
(c)=1950
(d)=4440
5 0
3 years ago
A factory produce bicycles at a rate of 110+0.5t^2-0.9t bicycles per week (t in weeks)
klasskru [66]

Answer:

221

Step-by-step explanation:

Day 8 is the first day of the second week.

Day 21 is the last day of week 3.

We need to know the n umber of bicycles made from t = 1 to t = 3

The function is b(t) = 110 + 0.5t^2 - 0.9t, where t is in weeks.

We need to integrate the function with the limits of 1 to 3.

\int_{1}^{3} (110 + 0.5t^2 - 0.9t) dt

\int_{1}^{3} (110 + \dfrac{t^2}{2} - \dfrac{9t}{10}) dt

= 110t + \dfrac{t^3}{6} - \dfrac{9t^2}{20} \Biggr|_{1}^{3}

= 330.45 - 109.72

= 220.7333

Answer: 221

3 0
3 years ago
These answers on this paper
ValentinkaMS [17]
For 9 in standees form just write the regular number
6 0
3 years ago
The formula for the area of a rhombus is A = a equals StartFraction one-half EndFraction d 1 d 2.d1d2, where d1 and d2 are the l
AlexFokin [52]

The two equivalent equations are d₁= 2a/d₂ and d₂= 2a/d₁ , Option 2 and 5 is the right answer.

<h3>What is a Rhombus ?</h3>

Rhombus is a quadrilateral with all the sides equal to each other.

It is given that d₁ and d₂ are the lengths of the diagonals.

and Area = a

a = (1/2) d₁ * d₂

  • 2a = d₁ * d₂

       d₁ * d₂ = 2a

       It can be written as

        d₁= 2a/d₂

a = (1/2) d₁ * d₂

  • d₁ * d₂ = 2a

        d₂= 2a/d₁

Therefore Option 2 and 5 are the correct answer.

The options of this question are:

1.  d₁=2Ad₂

2. d₁= 2A/d₂

3. d₂= d₁/2A

4. d₁= 2A/d₂

5. d₂= 2A/d₁

To know more about Rhombus

brainly.com/question/27870968

#SPJ1

3 0
2 years ago
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