The product of two consecutive even numbers is 360. Find the numbers.

Mathematics

1 answer:

Bingel [31]3 years ago

5 0

Answer:

Step-by-step explanation:

Two consecutive numbers be 2x , (2x + 2)

(2x)(2x + 2) = 360

2x*2x + 2x *2 = 360

4x² + 4x = 360 {divide the equation by 4}

x² + x = 90

x² + x - 90 = 0

x² + 10x - 9x - 9*10 = 0

x(x + 10) - 9(x + 10) = 0

(x + 10)(x -9) = 0

x + 10 = 0

x = -10

2x = 2*(-10) = -20

2x + 2 = -20 + 2 = 18

(-20 , -18)

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What is this simplified? Please help

Naya [18.7K]

Answer:

The end result is -1/(x + 1)

Step-by-step explanation:

In order to find the answer to this, we first need to factor the denominator. Since it is a quadratic, we try to find number that multiply to the last term (8) and add to the middle term (9). In this case, the numbers 8 and 1 would work. This allows us to use those numbers in parenthesis along with x as a fully factored form.

x^2 + 9x + 8 = (x + 1)(x + 8)

Now that we have this factored we can take the original equation and factor a -1 out of the top.

(-1)(x + 8)/(x + 1)(x + 8)

Since there is an (x + 8) on the top and bottom, we can cancel those.

-1/(x + 1)

6 0

3 years ago

Solve for x. x^2 + 4x = 12

tigry1 [53]

Answer:

Step-by-step explanation:

2^2+4(2)=12