Sure, let's solve this step by step.

1. Let's denote the number we're looking for as x. According to the problem, we have the equation: x + 17 = 60/x.

2. To solve this equation, we first need to get rid of the fraction. We can do this by multiplying every term by x, which gives us: x^2 + 17x = 60.

3. Now, we can rearrange this equation to look like a quadratic equation: x^2 + 17x - 60 = 0.

4. The next step is to factor this equation. The factors of -60 that add up to 17 are 20 and -3. So, we can write the equation as: (x - 20)(x + 3) = 0.

5. Setting each factor equal to zero gives the solutions x = 20 and x = -3.

6. However, the problem asks for a positive number, so the only valid solution is x = 20.

So, the positive number that satisfies the given condition is 20.

Question

Sure, let's solve this step by step.

1. Let's denote the number we're looking for as x. According to the problem, we have the equation: x + 17 = 60/x.

2. To solve this equation, we first need to get rid of the fraction. We can do this by multiplying every term by x, which gives us: x^2 + 17x = 60.

3. Now, we can rearrange this equation to look like a quadratic equation: x^2 + 17x - 60 = 0.

4. The next step is to factor this equation. The factors of -60 that add up to 17 are 20 and -3. So, we can write the equation as: (x - 20)(x + 3) = 0.

5. Setting each factor equal to zero gives the solutions x = 20 and x = -3.

6. However, the problem asks for a positive number, so the only valid solution is x = 20.

So, the positive number that satisfies the given condition is 20.

Knowee AI · Accepted Answer

Sure, let's solve this step by step.

1. Let's denote the number we're looking for as x. According to the problem, we have the equation: x + 17 = 60/x.

2. To solve this equation, we first need to get rid of the fraction. We can do this by multiplying every term by x, which gives us: x^2 + 17x = 60.

3. Now, we can rearrange this equation to look like a quadratic equation: x^2 + 17x - 60 = 0.

4. The next step is to factor this equation. The factors of -60 that add up to 17 are 20 and -3. So, we can write the equation as: (x - 20)(x + 3) = 0.

5. Setting each factor equal to zero gives the solutions x = 20 and x = -3.

6. However, the problem asks for a positive number, so the only valid solution is x = 20.

So, the positive number that satisfies the given condition is 20.

Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number. Options :3101720

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