Question

What is the equation to -6 and -1

Answer 1

Answer:

$x^2+7x+6=0$

Step-by-step explanation:

Assuming we want to find the quadratic equation whose roots are -6 and -1.

Then we can work backwards to find that equation.

Since -6 and -1 are roots of this equation, by the factor theorem x+6 an x+1 are also factors of the given equation.

$x+6=0\:and\:x+1=0$

This implies that:

$(x+6)(x+1)=0$

We now expand to get:

$x^2+6x+x+6=0$

Hence the required equation is $x^2+7x+6=0$