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What multiplies to 16 and adds to negative 12

2 Answers

5 votes
8 times 2 8 because they are both equability right 
User Farman Ali Khan
by
8.3k points
3 votes
factor 16 and see the - factor pairs and add them, see which add to -12
-1-16=-17 nope
-2-8=-10 nope
-4-4=-8
hmm


we will solve with math
xy=16
x+y=-12
minus x both sides
y=-12-x
sub for y in other equation
x(-12-x)=16
-12x-x^2=16
add 12x+x^2 both sides
0=x^2+12x+16
use quadratic formula
if you have
ax^2+bx+c=0
x=
\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}


0=x^2+12x+16
a=1
b=12
c=16

x=
\frac{-12+/- \sqrt{12^(2)-4(1)(16) }}{2(1)}
x=
(-12+/- √(144-64 ))/(2)
x=
(-12+/- √(80))/(2)
x=
(-12+/- 4√(5))/(2)
x=
\frac{-6+/- 2√(5)
x=
\frac{-6+ 2√(5) or
\frac{-6- 2√(5)

aprox
x=-1.52786 or -10.4721

those are the numbers

the numbes are -1.52786 or -10.4721

User Svprdga
by
8.5k points