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3 years ago

What number should be added on both sides of the equation to complete the square x2 -6x =5

Mathematics

2 answers:

m_a_m_a [10]3 years ago

6 0

The Answer wouldn't be any other number but 9. I took this test and got it right.

alisha [4.7K]3 years ago

3 0

Answer:

We should add 9 on the both sides of the given equation.

Step-by-step explanation:

Since, for making a perfect square on the left side of a quadratic equation,

We add the square of the half of the coefficient of x on both sides,

The given equation,

$x^2-6x = 5$

Here, the coefficient of x is 6,

Half of 6 = 3

Square of 3 = 9,

Thus, we should add 9 on the both sides of the given equation.

Verification :

$x^2 - 6x + 9 = 5 + 9$

$(x-3)^2 = 14$

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Decrease £189 by 38%

Trava [24]

I believe it would be around 117.18

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2 years ago

A sequence is defined by the function f(n)=f(n-1)+5. Where n represents the number of the term for n>1 and f(1)=-4. What are

Neporo4naja [7]

Answer:

The first four terms of the above sequence are 1, 6, 11, 16.

Step-by-step explanation:

A sequence is defined by the function f(n)=f(n-1)+5.

Where n represents the number of the term for n>1

First Put n = 2

f(2)=f(2-1)+5.

= f (1) + 5

= -4 + 5

= 1

Second Put n = 3

f(3)=f(3-1)+5.

= f (2) + 5

= 1 + 5

= 6

Third Put n = 4

f(4)=f(4-1)+5.

= f (3) + 5

= 6+ 5

= 11

Second Put n = 5

f(5)=f(5-1)+5.

= f (4) + 5

= 11 + 5

= 16

Therefore the first four terms of the above sequence are 1, 6, 11, 16.

3 0

2 years ago

Read 2 more answers

The perimeter of a rectangular banner is 72 inches. The width of the banner is 1/3 its length. What is the area of the banner?

muminat

Answer:

144

Step-by-step explanation:

If you multiply 4 by 12, then add 100, you get 144 which is the area.

4 0

2 years ago

An open top box is to be made by a 24 in by 24 in. by 36 in. piece of cardboard by removing a square from each corner of the box

galben [10]

Answer:

X= -12 +6√10

X= 6.973

Step-by-step explanation:

Volume of the box= (36-2x)(24-2x)x

Volume of the box

=( 864 -96x -4x²)x

But 864 -96x -4x²

=216 - 24x-x²

Solving for x quadratically

X= (24+12√10)/-2

X= -12 -6√10

X= -30.97

X= (24-12√10)/-2

X= -12 +6√10

X= 6.973

X will definitely be a positive number

So X= -12 +6√10

X= 6.973

4 0

3 years ago

what is the least whole number that has the remainders 10,12, and 15 when divided by 16, 18. and 21, respectively

AnnZ [28]

Answer:

$1002$

Step-by-step explanation:

First find difference between the divisors and remainders.

$16-10=6\\18-12=6\\21-15=6$

Here, the difference between the divisors and remainders is equal.

So, the required number is equal to LCM of $(16,18,21)-6$

$16=2^4\\18=2(3^2)\\21=3(7)$

LCM of $(16,18,21)=2^4(3^2)(7)=1008$

Required Number $=1008-6=1002$

7 0

2 years ago