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viktelen [127]
3 years ago
7

Which two numbers add to -22 and multiply to 121?

Mathematics
2 answers:
almond37 [142]3 years ago
7 0

<em>-</em><em>1</em><em>1</em><em> </em><em>and</em><em> </em><em>-</em><em>1</em><em>1</em><em> </em><em>are</em><em> </em><em>the</em><em> </em><em>two</em><em> </em><em>numbers</em><em> </em><em>that</em><em> </em><em>adds</em><em> </em><em>to</em><em> </em><em>-</em><em>2</em><em>2</em><em> </em><em>and</em><em> </em><em>multiply </em><em>to</em><em> </em><em>1</em><em>2</em><em>1</em>

<em>If</em><em> </em><em>we</em><em> </em><em>add</em><em> </em><em>1</em><em>1</em><em> </em><em>and</em><em> </em><em>1</em><em>1</em><em> </em><em>then</em><em> </em><em>it</em><em> </em><em>equals</em><em> </em><em>to</em><em> </em><em>-</em><em>2</em><em>2</em><em>.</em>

<em>if</em><em> </em><em>we</em><em> </em><em>multiply</em><em> </em><em>1</em><em>1</em><em> </em><em>and</em><em> </em><em>1</em><em>1</em><em> </em><em>then</em><em>,</em><em>it</em><em> </em><em>equals</em><em> </em><em>to</em><em> </em><em>1</em><em>2</em><em>1</em>

<em>hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em>

<em>Good</em><em> </em><em>luck</em><em> </em><em>on</em><em> </em><em>your</em><em> </em><em>assignment</em>

Reil [10]3 years ago
3 0

Answer: Both numbers are -11.

Step-by-step explanation:

You can represent this using two equations, where the variables are x and y:

x + y = -22\\x * y = 121

Then, solve the system using substitution by substituting y in the first equation into the second equation:

y = -22 - x\\ x * (-22 - x) = 121\\\\-x^2 - 22x - 121 = 0\\x^2 + 22x + 121 = 0\\

Then, solve the quadratic equation by factoring it:

(x+11)^2 = 0

The only solution (or zero) to the equation is -11.

This means that both numbers are equal to -11.

-11 - 11 = -22

-11 * -11 = 121

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