You can set this up as follows...
Let the two numbers be defined as x and y. Then,
x * y = 96
x - y = 10
x = 96/y and substitute
96/y - y = 10
rearranging yields a quadratic equation
96 - y^2 = 10y or
y^2 + 10y - 96 = 0
The solution(s) to the quadratic equation are given by:
y = (-b +/- sqrt(b^2-4ac)) / 2a
y = (-10 +/- sqrt(100 - 4(-96))) / 2
y = (-10 + 22 ) / 2 = 6
y = (-10 - 22 ) / 2 = -16
So, y can be 6 or -16
making x = 16 or -6
So you have two answers, (x,y) = (16,6) or (x,y) = (-6,-16)
No. The easiest counter-example to show that the product of two irrational numbers can be a rational number is that the product of √2 and √2 is 2. Likewise, the cube root of 2 is also an irrational number, but the product of 3√2, 3√2 and 3√2 is 2.
A product aimed at an audience of teenagers would show that the product is
Show your work.
Yes. To find it, evaluate both irrationals until the numbers show a difference in one of their later digits. Truncate the irrationals after this digit, sum them, then divide by 2. Job done.
Well, honey, the two numbers you're looking for are 9 and 4. They may not be the life of the party, but they sure know how to add up and multiply like nobody's business. So go ahead and show off your math skills with those numbers, you little math whiz!
So the numbers are 11,12.
Showing a composite number as a product of prime numbers is called prime factorization.
3 x 5 x 5 = 75
0.9 x 0.8 = 0.72
No. The easiest counter-example to show that the product of two irrational numbers can be a rational number is that the product of √2 and √2 is 2. Likewise, the cube root of 2 is also an irrational number, but the product of 3√2, 3√2 and 3√2 is 2.
First thing most important is product knowledge. You have to know your product well in order to sell it. Secondly know what your customers want. Target on their needs. the answer could be something that makes them solve their current problem. thirdly, have faith in your product. show your confidence.
2 x 2 x 3 x 7 = 84
24 as a product of prime numbers is 2 x 2 x 2 x 3.
show how to solve -2X-4<10 -2X<14 X>-7 (you must change the sign when multiplying or dividing by negatives) Not sure what show steps of how to solve- 10 of 90 means
A product aimed at an audience of teenagers would show that the product is
Show your work.
It will take six. 2 x 2 x 2 x 2 x 2 x 2 = 64