What two numbers multiple together to equal -50 and add together to equal to 2?

Answer 1

xy=-50

x+y=2, so y=2-x

Substitute y=2-x to xy=-50

x(2-x)=-50

2x-x2=-50

-x2+2x+50=0

x2-2x-50=0 cannot be factorised.

So use the abc formula

ax2+bx+c=0

a=1, b=-2, c=-50, pm=plus minus, v=square root

x=[-b pm v(b2-4ac)]/2a

x=[2 pm v(4-4.1.-50)]/2.1

x=[2 pm v(204)]/2

x= [2 pm 2v(51)]/2

x=1 pm v(51)

so the answer is 1+v51 and 1-v51

or in decimal (approx): 8.1414 and -6.1414