# How do you solve # x^2-4x-7=0#?

##### 1 Answer

#### Explanation:

This is a quadratic equation. There are 3 methods for solving them:

Factorise, completing the square or using the quadratic formula.

The given equation does not factorise, so option 1 falls away.

My choice would be completing the square because:

the coefficient of

Student often think completing the square is difficult, but in a case like this it is quicker and easier than using the formula.

Move the constant to the RHS:

Add on the square of, half of the middle coefficient to both sides:

The LHS is now the square of a binomial