Question

what are two numbers that add to 60 and multiply to -500

Answer 1

@mathmale

Answer 2

@rishavraj

Answer 3

HI!!

Answer 4

Set x+y= 60, and xy=-500. Rearrange and substitute.

Answer 5

you can probably do this by solving \[x^2+60x-500=0\]

Answer 6

@misty1212 that is not nature number after solving the Euation

Answer 7

ok then try @NotTim way

Answer 8

You can use the quadratic formula as well.

Answer 9

\[x=10\left(\sqrt{14}-3\right),\:x=-10\left(3+\sqrt{14}\right)\]
After Solveing the Rquation that is the Answer come

Answer 10

\[x+y=60\iff y=60-x\]
\[xy=-500\\
x(60-x)=-500\]

Answer 11

@Seratul YEs i have also Solve the Quadratic formula

Answer 12

pretty sure you get the same equation

Answer 13

yes

Answer 14

Finish solving.

Answer 15

no one said the answers had to be integers right?

Answer 16

I don't know the answer

Answer 17

did you get to here \[x(60-x)=-500\]?

Answer 18

What did you get after applying the quadratic formula?

Answer 19

yes but answer is not integer
x(60-x)=-500
After solveing the answer is..
\[x=-10\left(\sqrt{14}-3\right),\:x=10\left(3+\sqrt{14}\right)\]

Answer 20

well, they certainly add to 60!!

Answer 21

not sure why you are certain the answers are whole numbers
in general, if you solve a quadratic equation, the answers have radicals

Answer 22

@Seratul
\[x=-10\left(\sqrt{14}-3\right),\:x=10\left(3+\sqrt{14}\right)\]
that is answer after applying Quadratic formula

Answer 23

or \[30-10\sqrt{14}, 30+10\sqrt{14}\]

Answer 24

Then that's your answer. You can continue to solve it if you like to what satellite said.

Answer 25

as @misty1212 said, they add up to 60 for certain
you can check to see if they multiply to get \(-500\)