Question

The sum of a positive number and its square is 30 find the number​

Answer 1

5

Explanation:

Let the positive number be x.

x + x² = 30

Now, let's solve for x:

Rearrange the equation:

x² + x - 30 = 0

Factor the quadratic equation:

( x + 6 ) ( x - 5 ) = 0

Setting each factor to zero gives us two possible solutions:

x + 6 = 0 --> x = -6 (rejected since x should be positive)

x - 5 = 0 --> x = 5

Answer 2

5

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Let the number be x.

We're given that the sum of this number and its square is equal to 30, so we can describe this situation with the following equation:

• x + x² = 30

Rearrange it as follows:

• x² + x - 30 =0

• x² + 6x - 5x - 30 = 0
• x(x + 6) - 5(x +6) = 0
• (x - 5)(x + 6) = 0
• x = 5 or x = - 6

One of solutions is negative hence discarded.

So, the positive number that satisfies the given conditions is x = 5.