Solve this equation using formula.

Question

x^2+x-(a+1)(a+2)=0?

Answer 1

Step 1:

The quardratic equation is .

Write the equation in the form of .

Rewrite the quadratic equation.

Here , and .

Quadratic formula :

The solution of the quadratic equation in the form is .

Substitute , and  in the quadratic formula.

Step2:

Consider .

Substitute in the equation (1).

and

and

and

and .

Therefore the solutions of the quadratic equation are  and .

Solution:

The solutions of the quadratic equation are  and .