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lyudmila [28]
3 years ago
6

To solve the equation for x by completing the square what equation is equivalent to x^2-x-2=0

Mathematics
1 answer:
GuDViN [60]3 years ago
3 0
So to complete the square in
ax^2+bx+c=d form

make sure a=1
subtract c from both sides
take 1/2 of b and square it
add that to both sides
factor perfect square

1x^2-1x-2=0
a=1
move c to other side
add 2 to oth sides
x^2-1x=2
take 1/2 of b and square it
1/2 of -1=-1/2
squaer it
1/4
add that to both sides
x^2-1x+1/4=2+1/4
factor left side
(x-1/2)=2+1/4

first blank is 1/2

2+1/4=8/4+1/4=9/4

blanks are
1/2 and 9/4
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Apply the distributive property to factor out the greatest common factor.<br> 44+48=
Elena-2011 [213]

Answer:

(40+4)+(40+48)

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if u add all

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Step-by-step explanation:

4 0
2 years ago
you have a gift card worth $50 you want to buy several paperback books that cost $6 each write and solve an inequality to find t
VARVARA [1.3K]
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3 0
3 years ago
make a conjecture, is there a value of N for which there could be a triangle with sides of length N, 2N, and 3N?
Assoli18 [71]

Answer: Conjecture: There is no triangle with side lengths N, 2N, and 3N (where N is a positive real number)

Proof:

We prove this by contradiction: Suppose there was an N for which we can construct a triangle with side lengths N, 2N, and 3N. We then apply the triangle inequalities tests. It must hold that:

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6 0
3 years ago
The sum of two numbers is 11. The sum of their squares is 65. Find the numbers. (How do you get the answer?)
Stels [109]
X is the number
<span>The sum of two numbers is 11, so other number is : 11 - x

</span><span>The sum of their squares is 65
</span>
x^2 + (11 - x)^2 = 65
x^2 + 121 - 2(x)(11) + x^2 = 65
2x^2 - 22x + 121 = 65
2x^2 - 22x + 121 -  65 = 0
2x^2 - 22x + 56 = 0
2(x^2 - 11x + 28) = 0
2(x - 7)(x -4 ) = 0
x - 7 = 0
x = 7

x - 4 =0
x =4

answer: the numbers are 4 and 7

double check:

<span>sum of two numbers is 11:
4 + 7 = 11

</span><span>The sum of their squares is 65
</span><span>4^2 + 17^2 = 16 + 49 = 65

</span>
7 0
3 years ago
Calculate the mass of a rectangular solid that has a density of 2.53 g/cm3 and which measures 25 mm by 1.80 cm by 3.00 cm.
Annette [7]
Mass = density x volume 
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3 0
2 years ago
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