# What are two numbers which multiply to make #-9450# and add to make #-15# ?

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The question was changed after posting my original answer... I re-worked the problem and obtained two possible combinations.

#### Explanation:

"**two numbers add to make -15**" gives equation 1):

**1)**

"**two numbers multiply to make -9450**", gives:

**2)**

Solve equation 1) for A, then substitute into equation 2), to get B.

**1a)**

Multiply, then add 9450 to both sides, to get,

Use the quadratic formula.

**Exact.**

**Approximate.**

Substitute into 1a) to obtain two possible (approximate) values for A.

There are two possible combinations of numbers for A and B:

( -105, 90)

(89.74, -104.74 )

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Describe your changes (optional) 200

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One number has to be positive and one has to be negative to give a negative product.

Factors which differ by

Try numbers less than

Describe your changes (optional) 200