Worksheet for the Quadratic Formula

Question 1: Use the Quadratic Formula to
calculate the roots of the following Quadratic equations:

a)	5x2 + 6x + 1 = 0		x = {-1, -1/5}
b)	2x2 + 3x - 2 = 0		x = {-2, 1/2}
c)	x2 - x - 2 = 0		x = {-1, 2}
d)	10x2 -14x +4 = 0		x = {2/5, 1}

Question 2: Use the Quadratic Formula to find the roots of the following Quadratic equations:

a)	√3x2 + 5x + 2√3 = 0		x = {-2/√3, -√3}
b)	√2x2 - x - √2		x = {-1/√2, √2}
c)	√5x2 + 35x + 50√5 = 0		x = {-5√5, -2√5}
d)	3√2x2 + x - 2√2 = 0		x = {1/√2, -(2√2)/3}

Question 3: Use the Quadratic Formula to find the roots of the following Quadratic equations:

a)	x + 1/x = 2		x = 1
b)	(x + 1)/(x + 3) = (3x + 2)/(2x + 3)		x = {(-3 - √6), (√6 - 3)}
c)	x^2 + (1/x^2) = 2		x = {1, -1}
d)	x(2 + x) = 3		x = {1, -3}