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faltersainse [42]
2 years ago
12

Find two numbers whos diffrence is 16 and the product is 720

Mathematics
1 answer:
antiseptic1488 [7]2 years ago
8 0

Answer:

the numbers who's difference is 16 and the product is 720 is

36 &20

Explanation:

to finding numbers you have to express the equation in a quadratic equation then Factor it.

since the two numbers have a difference of 16 you can say that the first number is x and the second number is x -16 then their product is 720.

x(x-16)=720

x²-16x=720

x²-16x-720=0

(x-36)(x+20)

there are two possible value of x but since you are looking for the positive value of x, choose the positive value of x the first number is 20.

To find the second number

x-16=20

x=20+16

x=36

the second number is 36

<u>Now </u><u>to </u><u>check</u>

<u>3</u><u>6</u><u>-</u><u>2</u><u>0</u><u>=</u><u>1</u><u>6</u>

<u>2</u><u>0</u><u>*</u><u>3</u><u>6</u><u>=</u><u>7</u><u>2</u><u>0</u>

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