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3 years ago

2(3x+4)=4x+12 i don’t understand please help me

Mathematics

2 answers:

Zinaida [17]3 years ago

8 0

Answer:

Step-by-step explanation:

2(3x +4)=4x +12

6x +8=4x +12

6x - 4x =12-8

2x=4

x=4:2

x=2

Step2247 [10]3 years ago

3 0

Answer:X=2

Step-by-step explanation:first you simplify the left side by multiplying the 2 with both numbers which gets you 6x+8=4x+12 then you can subtract 8 from 12 which gets you 6x=4x+4 then you subtract 4x from 6x which then gets you to 2x=4 and finally you divide the 2 from the 4 to get X alone which then gets you the answer of x= 2

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alukav5142 [94]

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When we plug in 1, we get: $2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0$

Simplify:
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We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
$2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0$
$512 - 320 - 224 + 4a + b = 0$
$- 32 + 4a + b = 0$
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Now we have our second one. We can combine them:
$a + b = 17 \\ 4a + b = 32$

I use elimination method which is easier here.

Multiply the top equation by -1: $- a - b = - 17 \\ 4a + b = 32$

Add them up:
$3a = 15$

Simplify:
$a = 5$

Now we have a, we can plug in one of those equations to find b:
$5 + b = 17$
$b = 17 - 5$
$b = 12$

So, the answers are $a=5$ and $b=12$ .

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