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Quadratic Equation

Total questions: 11

Worksheet time: 11mins

Name
Class
Date
1.
Solve the following quadratic equation.
x2 - 10x + 25 = 0
a)
x=5, x=3
b)
x=5, x=5
c)
x=5, x=-5
d)
x=-5, x=-5
2.
Solve the following quadratic equation
x2 - x - 10 = x + 5
a)
x=-3, x=-5
b)
x=5, x=3
c)
x=5, x=-3
d)
x=-5, x=3
3.
Solve the following quadratic equation
(x + 3)(x + 2) = 0
a)
x=1, x=4
b)
x=2, x=3
c)
x=-2, x=-3
d)
x=-1, x=-4
4.
What is the formula for finding a quadratic equation involving sum of roots (SOR) and product of roots (POR)?
a)
x2 - (SOR)x + POR = 0
b)
x2 - (SOR) + POR = 0
c)
x2 + (SOR)x + POR = 0
d)
x2 - (SOR)x - POR = 0
5.
What is the sum of roots (SOR) and product of roots (POR) for equation of x2 + 5x + 6 = 0?
a)
SOR = 5, POR = 6
b)
SOR = -5, POR = -6
c)
SOR = 5, POR = -6
d)
SOR = -5, POR = 6
6.
Form a quadratic equation with the following roots
x1 = 6, x2 =  -1/2
a)
2x2 - 11x - 6 = 0
b)
x2 - 11x - 3 = 0
c)
2x2 - 2x - 6 = 0
d)
x2 - 11x - 6 = 0
7.
Given that the equation (k + 1)x2 - 4x +9  = 0 has two different roots. Determine the range of values of k.
a)
k < - 5/9
b)
k > - 5/9
c)
k = 0
8.
What is the formula for discriminant, D?
a)
D = b2 - 4ac
b)
D = b2 - 4ab
c)
D = c2 - 4ac
d)
D = b2 - 4bc
9.
Determine the type of roots for quadratic equation below:
3x2 + 5x - 4 = 0
a)
2 different roots
b)
1 same root
c)
No real roots
10.
Determine the type of roots for quadratic equation below:
4x2 -  12x + 9 = 0
a)
1 real root
b)
No real roots
c)
2 distinct roots
11.
Determine the type of roots for x2 - 3x + 4 =0
a)
No real roots
b)
2 same roots
c)
2 distinct roots