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3 years ago

In the equation x^2-6x+8=0 what are the solutions for x

Mathematics

2 answers:

liq [111]3 years ago

3 0

(x= -4,-2) if you want to know how check out this video (YouTube.com/watch?v=E7bnvVQe_No)

harina [27]3 years ago

3 0

Hello,

x²-6x+8=0
==>x²-2x-4x+8=0
==>x(x-2)-4(x-2)=0
==>(x-2)(x-4)=0
==>x=2 or x=4.

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Find the values of a and b such that

Varvara68 [4.7K]

Answer:

a = 1.5

b = 1.75

Step-by-step explanation:

First, we need to solve $(x+a)^2$ and replace the result in the initial equation as:

$x^2+3x+4=(x+a)^2+b\\x^2+3x+4=x^2+2ax+a^2+b$

Then, this equality apply only if the coefficient of $x$ is equal in both sides and the constant is equal in both sides.

It means that we have two equations:

$3x=2ax\\4=a^2+b$

So, using the first equation and solving for a, we get:

$3x=2ax\\3=2a\\a=\frac{3}{2}=1.5$

Finally, replacing the value of a in the second equation and solving for b, we get:

$4=a^2+b\\4=1.5^2+b\\b=4-1.5^2\\b=4-2.25\\b=1.75$

3 0

3 years ago

Determine whether The given segments have the same length. Justify your answer

Semenov [28]

We know the distance formula is

$\sqrt{ (x_{2}-x_{1})^2+ (y_{2}-y_{1})^2 }$

Here A( -4,2) and B(1,4)

So length of AB

= $\sqrt{(1-(-4))^2+(4-2)^2} =\sqrt{5^2+2^2} =\sqrt{29}$

Also C(2,1)

Length of BC

= $\sqrt{(2-1)^2+(-1-4)^2} =\sqrt{1^2+(-5)^2} =\sqrt{26}$

So we can see that length of AB is not equal to length of BC

11.

Now AB = $\sqrt{29}$

Also C(2,-1) & D(4,4)

Length of CD

= $\sqrt{(4-2)^2+(4-(-1)) ^2} =\sqrt{2^2+5^2} =\sqrt{29}$

Yes AB = CD

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3 years ago

10. In markets, what is the signal that allocates goods and

dalvyx [7]

A) price is the answer

6 0

3 years ago

I need help solving |5+2j|=9 please

V125BC [204]

$5 + 2j = 9 \\ j = 2$
$5 + 2j = - 9 \\ j = - 7$

3 0

3 years ago

Would anyone be willing to helppp? I’ll be giving brainliest when I get the chance too

anyanavicka [17]

Step-by-step explanation:

1. add the numbers all together

(of the pets)

= 40 pets total

40 pets =100%

1 pet = 2.5%

percents:

Cat= 10, or 25%

Dog = 15, or 37.5 %

fish=8 or 20%

bird= 7 or 17.5%

angles:

dog= 135

cat= 90

fish= 72

bird= 63

5 0

3 years ago