Question

Two numbers are 10 units away in different directions from their midpoint, m, on a number line. The product of the numbers is –99.
Which equation can be used to find m, the midpoint of the two numbers?

(m – 5)(m + 5) = 99
(m – 10)(m + 10) = 99
m2 – 25 = –99
m2 – 100 = –99

Answer 1

Answer:

$m {}^{2} - 100 = - 99$

Step-by-step explanation:

Set up the binomial.

$(m - 10)$

$(m + 10)$

Multiply the binomial.

$(m - 10)(m + 10) = - 99$

Apply difference of squares rule

$(p + q)(p - q) = p {}^{2} - q {}^{2}$

$m {}^{2} - 100 = - 99$