Pure Mathematics 1 Formulas

Question 1

Quadratic formula

Answer 1

ax^2 + bx + c = 0

( -b (+ or -) √ b^2 - 4ac ) ÷ 2a

Question 2

Completing the square

Answer 2

x^2 + bx = ( x + ( b ÷ 2 ) ) ^2 - ( b ÷ 2 ) ^2

or

ax^2 + bx + c = a ( x + ( b ÷ 2a ))^2 + ( c - ( b^2 ÷ 4a))

Question 3

Maximum/Minimum point

Answer 3

Turning point = ( -p , q )

f ( x ) = a ( x + p )^2 + q