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saveliy_v [14]
3 years ago
10

ONLY ANSWER IF YOU KNOW THE ANSWER OR IF YOU ARE NIHHA :)) thanks

Mathematics
1 answer:
pishuonlain [190]3 years ago
8 0

Answer:

8

Step-by-step explanation:

Let's just call the number x for simplicity.

So, 7x is 8 less than x².

Putting this into an equation would look like this

x² - 8 = 7x

It looks like we'll have to factor this to solve. Before we do that we need to move the 7x to the left side so that everything is together.

x² - 7x -8 = 0

Now, we can proceed. To factor we first need to find the factors of -8.

The factors of -8 are

-2 ⋅ 4, -4 ⋅ 2, -1 ⋅ 8, 1 ⋅ -8.

We need to find the pair of factors that adds up to -7. The only ones that do are -1 and 8.

So now that we have these we can create a pair of binomials using them. This will give us the factored form of this equation.

( x + 1 ) ( x - 8 )

To find the solutions we will have to set them to 0 and solve each of these binomials individually.

x - 1 = 0

x = 1

So, one of the solutions is 1. It's not the one we want, since it's positive.

x - 8 = 0

x = 8

This is the one we want since it is positive.

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1) Factor out the coefficient 2:  2x^2+12x=4 => 2(x^2 + 6x) = 4

2) Complete the square of x^2 + 6x:  x^2 + 6x + 9 - 9.  Then:

                                                    2(x^2 + 6x + 9 - 9) = 4

3) Rewrite the square as the square of a binomial:

                                                    2( [x+3]^2 - 9) = 4, or

                                                     2([x+3]^2)       = 22, or

                                                     2( [x+3]^2 ) - 22 = 0

The value of q is -22.

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Answer:

The shorter piece   x  =  8.4 in

The longer one    y  =  15.6 in

Step-by-step explanation:

If we cut  a string length  L  in to unequal  pieces we get two pieces

first one with length  x  and the other one with length  y

Let call  x  the smaller piece,  then   y = L  -  x will be the longer one

If   x  =  35 %    then

x  =  0,35* L     and

y = L -  x  =  L - 0,35*L      ⇒  y  =  0,65 L     ⇒ y  =  0.65*24

Now if L  =  24  in

x  =  0,35*24          ⇒               x = 8.4 in

and

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as way of verification you can add the length of the two pieces and find:

8.4  +  15.6  = 24 in

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