Solve the quadratic equation x squared minus 5x plus 6 equals 0.

1. The equation is already in standard form, with everything on one side and zero on the other. 2. Quadratic equations of this kind are solved using factorisation. 3. Two numbers are needed whose product is 6 and whose sum is minus 5. 4. The constant 6 is positive, so both numbers carry the same sign. 5. The middle term is negative, so both numbers must be negative. 6. Minus 2 and minus 3 multiply to 6 and add to minus 5, so the brackets are x minus 2 and x minus 3. 7. If a product of two brackets is zero then one of them must be zero, giving x equal to 2 or x equal to 3. 8. The pair minus 2 and minus 3 as answers is the sign trap, since the roots are the opposite of the numbers inside the brackets. _Source: Siyavula Mathematics Grade 10 (Everything Maths, CC BY 4.0), Chapter 4: Equations and inequalities_