What are the roots of the equation x^2+6x-9=0

Answers

Answer 1
Answer:

Answer:

The roots of the quadratic equation are

x=-3+3√(2)

x=-3-3√(2)

Step-by-step explanation:

we have

x^(2) +6x-9=0

we know that

The formula to solve a quadratic equation of the form ax^(2) +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^(2)-4ac}} {2a}

in this problem we have

x^(2) +6x-9=0

so

a=1\nb=6\nc=-9

substitute in the formula

x=\frac{-6(+/-)\sqrt{6^(2)-4(1)(-9)}} {2(1)}

x=\frac{-6(+/-)√(72)} {2}

x=\frac{-6(+/-)6√(2)} {2}

x=-3(+/-)3√(2)

x=-3(+)3√(2)

x=-3(-)3√(2)

Answer 2
Answer:

Given equation is :

x^(2)+6x-9=0

We will solve this quadratic equation, using the formula:

x1,2=\frac{-b+\sqrt{b^(2)-4ac}}{2a} and

x1,2=\frac{-b-\sqrt{b^(2)-4ac}}{2a}

Now, putting a=1 , b=6 and c =-9 we get

x=\frac{-6+\sqrt{6^(2)-4*1(-9)}}{2*1} and

x=\frac{-6-\sqrt{6^(2)-4*1(-9)}}{2*1}

Final solutions are:  x=3(√(2)-1) and

x=-3(√(2)+1)


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What is 0.1 repeating as a fraction?

Answers

10x=1.1...
x=0.1...
Then subtract the two equations from each other:
9x=1
Solve for x:
x=1/9
x=0.\overline{1}\n10x=1.\overline{1}\n10x-x=1.\overline{1}-0.\overline{1}\n9x=1\nx=(1)/(9)

Write two ways you could use to find 5+8

Answers

Answer:

First is 5 +8 = 13 and Second is 8 +5 = 13 .

Step-by-step explanation:

Given : 5+8.

To find : Write two ways you could use to find 5+8 .

Solution : We have given that 5 + 8.

First is 5 +8 = 13

Second is 8 +5 = 13 .

Therefore, First is 5 +8 = 13 and Second is 8 +5 = 13 .

Provide an example of an operation that is commutative.Provide an example of an operation which is not commutative

Answers

Addition is commutative.
3 + 4 = 7. = 4 + 3

Division is not commutative.
3 / 4 is not = 4 / 3.

A school is building a rectangular soccer field that has an area of 6000 yards. The soccer field must be 40 yards longer than it's worth. Determine algebraically the dimensions of the soccer field, in yards. Show/ explain work

Answers

Given, soccer field length is 40 m longer than width
lets consider width=w
 so, length = w+40
area = length*width=6000
(w+40)*w=6000
w^2 +40*w-6000=0;
w^2+(100*w-60*w) -6000=0
(w^2 + 100*w) - (60*w+6000)=0
w(w+100)-60(w+100)=0
(w+100)(w-60)=0
w=60, because width will not be '-100'
w=60 and L=60+40=100

Please help don't know how to do

Answers

Area of a triangle is (basexheight)/2

That's what your Formula, then you have to plug in the numbers

so the algebraric expression is (5xn)/2

For then end if you look at the patteren for the height it goes by 2. So the last height would be 10.
Plug that into the equation, which would be (5x10)/2=25

What is the value of the digit 3 in the number 5.349

Answers

The value of 3 in 5.349 in 0.300 son its in the tenths place.
Trust me I am very good at math I am a straight a student.