Please solve equations by completing square

Answers

Answer 1

Answer: $x^2-4x+1=0\n x^2-4x+4-3=0\n (x-2)^2=3\n |x-2|=\sqrt3\n x-2=\sqrt3 \vee x-2=-\sqrt3\n x=2+\sqrt3 \vee x=2-\sqrt3$

$x^2+6x-9=0\n x^2+6x+9-18=0\n (x+3)^2=18\n |x+3|=√(18)=3\sqrt2\n x+3=3\sqrt2 \vee x+3=-3\sqrt2\n x=-3+3\sqrt2 \vee x=-3-3\sqrt2\n$

$x^2+20x+3=0\n x^2+20x+100-97=0\n (x+10)^2=97\n |x+10|=√(97)\n x+10=√(97) \vee x+10=-√(97)\n x=-10+√(97) \vee x=-10-√(97)$

$x^2-2x-5=0\n x^2-2x+1-6=0\n (x-1)^2=6\n |x-1|=\sqrt6\n x-1=\sqrt6 \vee x-1=-\sqrt6\n x=1+\sqrt6 \vee x=1-\sqrt6$

What is polygon Interior angles sum theorem?

Is states that sum of all interior angles of any polygon is fixed which is given by formula : (n-2)*180 degree.

How to solve?

Sum of all the three angles of a triangle is ( n-2 ) *180degree = (3-2)*180 degree = 180 degree.

since one angle is 90 degree, any other angle can't be of 90 degree or more otherwise it won't satisfy condition of sum of interior angles.

To know more about Angles visit:

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2. the other on top is a right angle

A barge travels twice as fast when it is empty as when it is full. If it travels 20 miles northwith a cargo, spends 20 minutes unloading, and returns to its original port
empty, taking 8 hours to complete the entire trip, what is the speed of the barge when it
is empty?

Answers

V1=(empty)=2*v2(full)
20+20 (go+return)
t1+t2=8hour-20’(1/3 hour)=23/3hour
t1=23/3-t2
v1*t1+v2*t2=20+20
2v2*(23/3-t2)+v2*t2=40
2v2*23/3-2v2*t2+v2t2=40
2v2*23/3-v2t2=40
2v2*23/3-20=40
2v2*23/3=60
v2=60/46/3=180/46=90/23
v1=2*90/23=180/23

Answer:wada

Step-by-step explanation:

awdasd asd wasd waswd

Which addition does the model below represent?3 + (negative 1)3 + 4
3 + (negative 4)
3 + 1

Answers

Answer:

3+(-4)

Step-by-step explanation:

i got it right

Which expressions are differences of squares?Choose all answers that are correct.
(Please explain)
2a^4 – 49b^6

25d^12 – 36f^8

81p^6 – 16q^2

100s^9 – 9t^3

Answers

All of them except for the first one are differences of squares. Differences of squares is a form of factoring perfect squares. A 'perfect square' is just a fancy term that basically means you are doubling a number. Like the number 25 you multiply 5x5 to get that number and if you were to take the square root of that number you would also get 5. For it to be differences of two squares you have to have two numbers that if square rooted (in a calculater if you need one) would turn out to be a whole number or 'perfect'.

Answer:

All are correct but 100s^9-9t^3 this one is incorrect I just took the quiz

Choose the equation that could be used to find three consecutive integers whose sum is 36.n + (n + 2) + (n + 4) = 36

n + (n + 1) + (n + 3) = 36

n + (n + 1) + (n + 2) = 36

n + (n − 1) + (n − 3) = 36