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2 years ago

8x^2-10x=-3 solve using factoring

Mathematics

1 answer:

MrRissso [65]2 years ago

5 0

Answer:

x= 1/2 , 3/4

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

Step-by-step explanation:

set the equation equal to zero and factor the left side.

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Find the least common multiple (LCM) of 8y^6+ 144y^5+ 640y^4 and 2y^4 + 40y^3 + 200y^2.

Mice21 [21]

Answer:

LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

Step-by-step explanation:

Making factors of $8y^{6}+ 144y^{5}+ 640y^{4}$

Taking $8y^{4}$ common:

$\Rightarrow 8y^{4} (y^{2}+ 18y+ 80)$

Using factorization method:

$\Rightarrow 8y^{4} (y^{2}+ 10y + 8y + 80)\\\Rightarrow 8y^{4} (y (y+ 10) + 8(y + 10))\\\Rightarrow 8y^{4} (y+ 10)(y + 8))\\\Rightarrow \underline{2y^{2}} \times 4y^{2} \underline{(y+ 10)}(y + 8)) ..... (1)$

Now, Making factors of $2y^{4} + 40y^{3} + 200y^{2}$

Taking $2y^{2}$ common:

$\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)$

Using factorization method:

$\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10) ............ (2)$

The underlined parts show the Highest Common Factor(HCF).

i.e. HCF is $2y^{2} (y+ 10)$ .

We know the relation between LCM, HCF of the two numbers 'p' , 'q' and the numbers themselves as:

$HCF \times LCM = p \times q$

Using equations (1) and (2): $\Rightarrow 2y^{2} (y+ 10) \times LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times 2y^{2} (y+ 10)(y + 10)\\\Rightarrow LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times (y + 10)\\\Rightarrow LCM = 8y^{4}(y+ 10)^{2}(y + 8)$

Hence, LCM = $8y^{4}(y+ 10)^{2}(y + 8)$

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2 years ago

The value of y varies directly with x if x=8 then y=96 what is the value of x when y=196

ExtremeBDS [4]

Answer:

Step-by-step explanation:

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2 years ago

Find the inflation rate from 1992 to 1993 . Assume that all prices have risen at the same rate as the CPI.

Zinaida [17]

69,420

69,420|

69,420

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2 years ago

WHAT IS THE SLOPE PLEASE??

strojnjashka [21]

Answer:

Step-by-step explanation:

take two points on the line ,i take (-4,0) and (0,-2)

slope=(y2-y1)/(x2-x1)=(-2-0)/(0+4)=-2/4=-1/2

6 0

3 years ago

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4x2 - 12x + 9 can be factored as (2x - 3)(2x - 3) True False

azamat

Answer:

(2 x - 3)^2 thus it's True

Step-by-step explanation:

Factor the following:

4 x^2 - 12 x + 9

Factor the quadratic 4 x^2 - 12 x + 9. The coefficient of x^2 is 4 and the constant term is 9. The product of 4 and 9 is 36. The factors of 36 which sum to -12 are -6 and -6. So 4 x^2 - 12 x + 9 = 4 x^2 - 6 x - 6 x + 9 = 2 x (2 x - 3) - 3 (2 x - 3):

2 x (2 x - 3) - 3 (2 x - 3)

Factor 2 x - 3 from 2 x (2 x - 3) - 3 (2 x - 3):

(2 x - 3) (2 x - 3)

(2 x - 3) (2 x - 3) = (2 x - 3)^2:

Answer: (2 x - 3)^2

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3 years ago

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