Question

given are the sum and the product of two nombers . find the number . the numbers are 2 and -15
i need explain ​

Answer 1

Step-by-step explanation:

given: sum of two numbers is 2 and product of two numbers is-15

now ATQ

let the two numbers is X and y

X+y= 2

X= 2-y. equation 1

XY= -15. equation 2

putting the value of X in equation 2

(2-y)y= -15

2y-y^2 = -15

y^2-2y-15 = 0

y^2 -3y+5y-15=0

y(y+3) - 5(y+3)=0

(y-5)(y+3)= 0

so y=5,-3

and X=2-5

= -3 and

X= 2-(-3)

X= 5

so the number is 5,-3

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