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7nadin3 [17]
2 years ago
10

What are the solutions to the quadratic equation below?

Mathematics
1 answer:
Luden [163]2 years ago
5 0

Using factorization method;

x²+13x+40=0

x²+13+40

Find two numbers that you can add together to give the co-efficient of variable x. (I.e 13 for this question). Also, you'll find two numbers that you can multiply with each other to give you the whole number as an answer. (I.e 40 in this question). The two numbers must be the same (i.e the two numbers that will be added to give the co-efficient of x and the two numbers that will be multiplied to give the whole number must be the same two).

The two numbers are +5 and +8

The equation will therefore be = x²+5x+8x+40

You'll then factorize (I.e use a common factor of both values to bracket them)

x(x+5)+8(x+5)

(x+8)(x+5)

x is therefore (x+8=0) or (x+5=0)

x=(x=0-8) or (x=0-5)

x= -8 or x= -5

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A hardware store clerk mixed nuts worth $1.32 per kilogram with bolts worth $1.20 per kilogram. If he made 108 kilograms of a mi
AlladinOne [14]

Answer:

the way to work these types of problems is to create a table. The table will have three rows and three columns.

The table:

Let x represent the kilograms of nuts, then 138 - x will represent the kilograms of bolts.

Product     Amount        Cost            Total

--------------------------------------------------------

  Nuts          x               .60         .60 * x

  Bolts      138 - x          .66         .66 * (138 - x)

  Mix          138             .65         .65 * (138)

Step-by-step explanation:

The equation:

The nuts plus the bolts must equal the mix or:

.60 * x + .66 * (138 - x) = .65 * 138

I do not like to work with decimals, so multiply each term by 100:

60 * x + 66 * (138 - x) = 65 * 138

Remove the parenthesis and combine like terms:

-6x = -66 * 138 + 65 * 138

-6x = -138

Divide both sides by -6:

x = 23

Solution:

The mixture contains 23 kilograms of nuts.

The mixture contains 138 - 23, or 115 kilograms of bolts.

8 0
2 years ago
Plz help me with this
Delicious77 [7]

<em>Answer:</em>

<em>63°</em>

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

<em>Hi there ! </em>

<em>ABCD parallelogram => ∡A = ∡C</em>

<em>13x - 41 = 6x + 15</em>

<em>13x - 6x = 15 + 41</em>

<em>7x = 56</em>

<em>x = 56 : 7</em>

<em>x = 8</em>

<em>∡C = 6×8 + 15 = 48 + 15 = 63°</em>

<em>Good luck !</em>

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Answer:

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