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polet [3.4K]
3 years ago
13

What are the solutions of the equation?

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
7 0

Answer:

Correct option is b; x= \frac{-4}{3},\frac{-1}{2}


Step-by-step explanation:

Given equation 6x² + 11x + 4 = 0

Using factorization method to solve it

6x² + 8x + 3x + 4 = 0

Dividing the central term into two terms in such a way that their product gives 24x² and their sum gives 11x

taking common in the above equation

2x(3x+4) + 1(3x+4) = 0

taking 3x+4 common

(3x+4)(2x+1) = 0 --------------eq 1

we can write from eq1

(3x+4) = 0

3x = -4

x= \frac{-4}{3}


and we can write from eq1

2x+1 = 0

2x = -1

x= \frac{-1}{2}


Ulleksa [173]3 years ago
4 0

<u>Answer:</u>

b. -4/3, -1/2

<u>Step-by-step explanation:</u>

We are given the following equation and we are to solve it by factorizing it:

6x^2 + 11x + 4 = 0

We are to find factors of 24 such that when multiplied they give a product of 24 and when added they give a result of 11.

6x^2+3x+8x+4=0

3x(2x+1)+4(2x+1)=0

(2x+1)(3x+4)=0

2x+1=0, 3x+4=0

x=-\frac{1}{2} , x=-\frac{4}{3}

Therefore, the correct answer option is b. -4/3, -1/2.

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Step-by-step explanation:

x-3=2x-13

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7 0
2 years ago
Translate the points two left and six up <br> W(4,8)<br> X(3,-2)<br> Y(6,5)
Ivenika [448]

Answer:

  • W'(2, 14)
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Step-by-step explanation:

To translate 2 left, subtract 2 from every x-value.

To translate 6 up, add 6 to every y-value.

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W' = W +(-2, 6) = (4-2, 8+6)

W' = (2, 14)

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X' = X +(-2, 6) = (3-2, -2+6)

X' = (1, 4)

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Y' = Y +(-2, 6) = (6-2, 5+6)

Y' = (4, 11)

3 0
3 years ago
Can someone answer this??
kifflom [539]

Answer:

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5 0
2 years ago
If 3(x + 5) = 39, then what is x?
Phoenix [80]

Answer:

x=8

Step-by-step explanation:

X=8 because 39/3 is 13 and 13- 5 is 8 and 5 and 8 add up to make 13 inside the parenthesis.

7 0
3 years ago
Read 2 more answers
a line segment of length 84cm has been divided into two parts in the ratio 4:3 find the length of each part​
Tanzania [10]

Answer:

48 and 36

Step-by-step explanation:

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or4x+3x=84

or, 7x=84

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or, x=12

now,

4x=12×4

=48

3x=3×12

=36

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3 years ago
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