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Varvara68 [4.7K]
2 years ago
12

Solve for x by completing the square: x2 - 12x + 11 = 0

Mathematics
1 answer:
sineoko [7]2 years ago
6 0

Answer:

B

Step-by-step explanation:

x² - 12x + 11 = 0 ( subtract 11 from both sides )

x² - 12x = - 11

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 6)x + 36 = - 11 + 36

(x - 6)² = 25 ( take square root of both sides )

x - 6 = ± \sqrt{25} = ± 5 ( add 6 to both sides )

x = 6 ± 5

Then

x = 6 - 5 = 1 ⇒ (1, 0 )

x = 6 + 5 = 11 ⇒ (11, 0 )

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Help please, I'm stuck on this :/
nlexa [21]

Do you have a calculator? you can solve it by substituting x.

y=16x^2

0: y = 16(0)^2 = 16(0) = 0

(x = 0 , y = 0)

0.5: y = 16(0.5)^2 = 16(0.25) = 4

(x = 0.5 , y = 4)

1: y = 16(1)^2 = 16(1) = 16

(x = 1 , y = 16)

1.5: y = 16(1.5)^2 = 16(2.25) = 36

(x = 1.5 , y = 36)

2: y = 16(2)^2 = 16(4) = 64

(x = 2 , y = 64)

2.5: y = 16(2.5)^2 = 16(6.25) = 100

(x = 2.5 , y = 100)

3 : y = 16(3)^2 = 16(9) = 144

(x = 3 , y = 144)

4: y = 16(4)^2 = 16(16) = 256

(x = 4 , y = 256)

if you multiply a negative number by itself, it will become positive. So, -4, -3, -2.5, -2, -1.5, -1, -0.5 will be the same as the positive 4, 3, 2.5, 2, 1.5, 1, 0.5.

I'm not sure about the pattern, but if you graph it, it'll be symmetrical across the y-axis.

8 0
3 years ago
1] If 221ₓ= 25₁₀ find X<br> 2] if 3ₓ + 34ₓ - 40ₓ = 0 find x<br> 3] if 23ₓ = 1111₂ find x
Olin [163]

1.

2\cdot x^2+2\cdot x^1+1\cdot x^0=25\\2x^2+2x+1=25\\2x^2+2x-24=0\\x^2+x-12=0\\x^2+4x-3x-12=0\\x(x+4)-3(x+4)=0\\(x-3)(x+4)=0\\x=3 \vee x=-4

The base can't be negative, therefore x=3.

2.

3\cdot x^0+3\cdot x^1+4\cdot x^0-4\cdot x^1+0\cdot x^0=0\\3+3x+4-4x=0\\x=7

3.

2\cdot x^1+3\cdotx^0=1\cdot 2^3+1\cdot2^2+1\cdot2^1+1\cdot2^0\\2x+1=8+4+2+1\\2x=14\\x=7

5 0
2 years ago
Can someone help me with these two or at least explain it pls
Bad White [126]

A withdrawal from an account means taking money out of your account. That means whatever money you have in there becomes a smaller amount because you're subtracting money from the account.

So, to work out how much money Jan withdrew as a negative sum, you just have to look at how much she took out:

-25 - 45 - 75 = -$145

This means Jan took out $145 from her account, and we write it with a negative sign because it's money that's going to be taken away from whatever's in there.

The same thing applies to Julie:

-35 - 55 - 65 = -$155

Julie took out $155 from her account, so her withdrawals were -$155.

Therefore, your final answer for 24a. is -$145 and your answer for 24b. is -$155.

7 0
3 years ago
Alejandro made an error in the steps below when determining the equation of the line that is perpendicular to line 4x - 3y = 8 a
Ronch [10]

 

Hello:<span>
the equation is : y = ax+b
the slope is a : a×(4/3) = -1......( perpendicular to a line with a slope of   4/3)            because :     4x-3y =8...y=(4/3)x-8/3    )     </span>

<span>
a = -3/4         y=(-3/4)x+b
the line that passes through (3, -2) :- 2 = (-3/4)(3)+b
b =1/4
<span> the equation is :  y  = (-3/4)x+1/4</span></span>

5 0
3 years ago
What is the answer to this?
yawa3891 [41]

Answer:

5

Step-by-step explanation:

8 0
3 years ago
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