Question

What is the sum and product of x^2+12x+32=0? pls help me

Answer 1

Hope it helps uh !........

Answer 2

Sum= -12

Product=32

Explanation:

`x^2+12x+32=0`

By factorization, we get

`x^2+4x+8x+32=0\\x(x+4)+8(x+4)=0\\(x+4)(x+8)=0\\`

Therefore, the roots of the equation are = -4,-8

Sum of the roots =
`\alpha+\beta =(-b)/(a)`

`\alpha +\beta`=
`-8-4=-12`

Product of the roots=
`\alpha \beta =(c)/(a)`

`\alpha \beta =8*4=32`