x + y = -24
xy = -24
\(xy = -24\)
\(\frac{xy}{x} = \frac{-24}{x}\)
\(y = \frac{-24}{x}\)
\(x + y = -24\)
\(x + \frac{-24}{x} = -24\)
\(\frac{x^{2}}{x} + \frac{-24}{x} = -24\)
\(\frac{x^{2} - 24}{x} = -24\)
\(-24x = x^{2} - 24\)
\(0 = x^{2} + 24x - 24\)
\(x = \frac{-(24) \± \sqrt{(24)^{2} - 4(1)(-24)}}{2(1)}\)
\(x = \frac{-24 \± \sqrt{576 + 96}}{2}\)
\(x = \frac{-24 \± \sqrt{672}}{2}\)
\(x = \frac{-24 \± 4\sqrt{42}}{2}\)
\(x = -12 \± 2\sqrt{42}\)
\(x = -12 \± 2(6.5)\)
\(x = -12 \± 13\)
\(x = -12 + 13\) \(or\) \(x = -12 - 13\)
\(x = 1\) \(or\) \(x = -25\)
x + y = -24 or x + y = -24
1 + y = -24 or -25 + y = -24
- 1 - 1 + 25 + 25
y = -25 or y = 1
(x, y) = (1, -25) or (x, y) = (-25, 1)
The two numbers that add up to 24 are the numbers 1 and -25.
x + y = -24
xy = -24
\(xy = -24\)
\(\frac{xy}{x} = \frac{-24}{x}\)
\(y = \frac{-24}{x}\)
\(x + y = -24\)
\(x + \frac{-24}{x} = -24\)
\(\frac{x^{2}}{x} + \frac{-24}{x} = -24\)
\(\frac{x^{2} - 24}{x} = -24\)
\(-24x = x^{2} - 24\)
\(0 = x^{2} + 24x - 24\)
\(x = \frac{-(24) \± \sqrt{(24)^{2} - 4(1)(-24)}}{2(1)}\)
\(x = \frac{-24 \± \sqrt{576 + 96}}{2}\)
\(x = \frac{-24 \± \sqrt{672}}{2}\)
\(x = \frac{-24 \± 4\sqrt{42}}{2}\)
\(x = -12 \± 2\sqrt{42}\)
\(x = -12 \± 2(6)\)
\(x = -12 \± 12\)
\(x = -12 + 12\) \(or\) \(x = -12 - 12\)
\(x = 0\) \(or\) \(x = -24\)
x + y = -24 or x + y = -24
0 + y = -24 or -24 + y = -24
- 0 - 0 + 24 + 24
y = 24 or y = 0
The two numbers that multiply to -24 are the numbers 24 and 0.
