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Serga [27]
3 years ago
14

The sum of two non-zero numbers a and b equals the sum of their reciprocals. If a+b≠0, what is the product of the two numbers?

Mathematics
1 answer:
Vadim26 [7]3 years ago
7 0

Answer:

ab = 1

Step-by-step explanation:

A Reciprocal of a number is a number which when multiplied by the original number yields the multiplicative number, 1.

So the reciprocal of x would be x⁻¹ or ¹⁄ₓ

The information we are given states that the sum of the two non-zero numbers a and b equals the sum of their reciprocals.

So we can write this into an equation and solve,

(See image)

Once we solve, we get the equation (ab-1)(a+b) = 0

We are given info that a+b≠0

So for the above equation to be true, ab-1 has to equal 0

For <em>this</em> to be true, the product ab must equal 1

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Answer:

62.50 or 0.625

Step-by-step explanation:

7 0
3 years ago
20 POINTS! Please help
Marysya12 [62]

The complete square will be  (x-3)^{2} = 3

Step-by-step explanation:

Given,

2x^{2} -12x+12=0

or, x^{2} -6x+6=0 [ by eliminating 2 from both the sides]

To make it square

x^{2} -6x+6=0

or, x^{2} -2xX3+9-9+6=0 [ (a+b)^{2}=a^{2} +2ab+b^{2}

or, (x-3)^{2} = 9-6

or, (x-3)^{2} = 3

Hence the correct option is B

3 0
4 years ago
Find the least whole number that can replace _ to make the statement true _ ÷ 9 &gt; 70
Semenov [28]
A>70*9
a>360
a should be at least 361
3 0
3 years ago
6.
Ilia_Sergeevich [38]

Answer:

  • A. 5 to the power of negative 5 over 6

Step-by-step explanation:

  • \sqrt[3]{5} \sqrt{5} /\sqrt[3]{5^5} =
  • 5^{1/3+1/2-5/3}=
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6 0
2 years ago
Solve the system of linear equations by substitution.<br> 3x + y = -9<br> y=5x+7
11Alexandr11 [23.1K]

Answer:

The solution is x = -2, y = -3

Step-by-step explanation:

Let's start with the equation 3x + y = -9

Substitute the y for 5x+7 seen in the second equation

Now you have 3x + (5x+7) = -9

Lets solve:

Let's add the x's

Now we have 8x + 7 = -9

Substracy seven from each side

Now we have 8x = -16

Now let's divide 8 on each side

Now we have x = -2

Now lets plug in -2 to the second equation

The second equation is y = 5x+7

When we plug in -2 we get y=5(-2)+7

We multiply

We now have y = -10+7

Add

y = -3

The solution is x = -2, y = -3

8 0
3 years ago
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