How do you solve #x^2+3x+2=0#?
The solutions for the equation are:
We can solve the expression by first factorising.
Factorising by splitting the middle term
Equating the factors with zero:
x=-2 or x=-1
Two standard ways to solve a quadratic equation:
Firstly you could factorise it to the form:-
Therefore we need two numbers that satisfy:-
So the expression is:-
It's then trivial to see that if
The other solution is to use the formula for the solution of a quadratic equation:
The same two solutions