Question

What 2 numbers multiply to be -14 and add to be -3

Answer 1

number one is corout

Explanation

Answer 2

xy = -14
x + y = -3


`xy = -14`

`(xy)/(x) = (-14)/(x)`

`y = (-14)/(x)`


`x + y = -3`

`x + (-14)/(x) = -3`

`(x^(2))/(x) + (-14)/(x) = -3`

`(x^(2) - 14)/(x) = -3`

`x^(2) - 14 = -3x`

`x^(2) + 3x - 14 = 0`

`x = \frac{-(3) \± \sqrt{(3)^(2) - 4(1)(-14)}}{2(1)}`

`x = (-3 \± √(9 + 56))/(2)`

`x = (-3 \± √(65))/(2)`

`x = (-3 \± 8.06)/(2)`

`x = -1.5 \± 4.03`

`x = -1.5 + 4.03`
`or`
`x = -1.5 - 4.03`

`x = 2.53`
`or`
`x = -5.53`

x + y = -3
2.53 + y = -3
- 2.53 - 2.53
y = -5.53
(x, y) = (2.53, -5.53)

x + y = -3
-5.53 + y = -3
+ 5.53 + 5.53
y = 2.53
(x, y) = (-5.53, 2.53)

The two numbers that multiply to -14 and add up to -3 are -5.53 and 2.53.