2.9 Quadratic Equation, SPM Practice (Paper 1)


Question 1:
Solve the following quadratic equations by factorisation.
(a)  x 2 5x10=4 (b) 3x2 x 2 =0 (c) 11a=2 a 2 +12 (d)  2x+7 3x2 =x

Solution:






Question 2:
Solve the following quadratic equations by completing the square.
(a) 5 x 2 +10x3=0 (b) 2 x 2 5x6=0

Solution:






Question 3:
Solve the following quadratic equations by using quadratic formula. Give your answer in four significant figures.
(a) (x+1)(x5)=15 (b)  x 2 +3x2 x 2 x1 =3

Solution:






Question 4:
If the roots of 2 x 2 +4x1=0 are α and β, find the equations whose roots are
(a)  α 2 , β 2 (b) αβ, βα

Solution:






Question 5:
Write and simplify the equation whose roots are double the roots of 3 x 2 5x1=0 , without solving the given equation.

Solution:


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