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RUDIKE [14]
3 years ago
10

Complete the square to solve 4x2 + 24x = 4.

Mathematics
2 answers:
igomit [66]3 years ago
8 0

Answer:

x = - 3 ± \sqrt{10}

Step-by-step explanation:

Given

4x² + 24x = 4 ( divide through by 4 )

x² + 6x = 1

To complete the square

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

x² + 2(3)x + 9 = 1 + 9

(x + 3)² = 10 ( take the square root of both sides )

x + 3 = ± \sqrt{10} ( subtract 3 from both sides )

x = - 3 ± \sqrt{10}

madreJ [45]3 years ago
3 0

Answer:

X=1/8

Step-by-step explanation:

Calculate the product 4x×2 + 24x = 4

Collect like terms 8x + 24x = 4

Divide both sides of the equation by "32" 32x = 4

Solution x = 1/8

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Step-by-step explanation:

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3 years ago
sara has two bags of nuts one with 60% peanuts and the other with 28% peanuts. to make a ten pound bag of 45% peanuts how much o
Drupady [299]

SOLUTION - GIVEN = Sara has two bag with 60% & 28% peanut.

                    prove = How much the peanut is used to make 10 pound of 45%

                                 peanut.

TO PROOF -  Assume that

                    let  x be the  value of the peanut  used by sara  from the bag

                  60% peanut bag.

                  let ( 10 - x)  be the value of peanut used by sara from 28% peanut

                  bag.

                as given the bag become  of  the 10 pound which contain

                 45% of peanunt.

                  thus we have

               0.60x + 0.28 ( 10 - x ) = 0.45 (10)        

                0.60x + 0.28 ( 10 -x ) =   4.5

               0.60x  +   2.8 -  0.28 x = 4.5

              0.60x - 0.28x = 4.5 - 2.8

            0.32x  = 1.7

             x =  5.3125   peanut is taken from the 60% bag.

            & 4.6875 peanut from the 28% bag.                                              

4 0
3 years ago
A student rewrote 4(3x+10) as 12x+10 what’s the erro<br> Need help plz
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Answer

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Step-by-step explanation:

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Answer:

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