WorksheetsQuadratic Equations
Total questions: 10
Worksheet time: 10mins
If α and β are the roots of the quadratic equation x² + 4x − 7 = 0, form a quadratic equation in x whose roots are α − 1 and β − 1.
x² + 6x − 14 = 0
x² + 6x − 2 = 0
x² − 6x − 2 = 0
x² − 6x − 14 = 0
In the figure, the curve y = x² + px + q cuts the x-axis at two points A(α, 0) and B(β, 0). M(−2, 0) is the mid-point of AB. (a) Express α + β in terms of p.
(a)
In the figure, the curve y = x² + px + q cuts the x-axis at two points A(α, 0) and B(β, 0). M(−2, 0) is the mid-point of AB.
(a) ii) Hence, find the value of p.
(a)
In the figure, the graph of y = x² + kx + 3 cuts the x-axis at two points A and B. If the distance between A and B is 2 units, find the value of k.
(a)
The roots of the equation 2x² − x − 6 = 0 are
3/2 , 5
−2 , ½
−3/2 , 2
3 , −3/2
Solve the equation (x − k)² - k² = 0
k
2k
0 or 2k
0 or −2k
Which of the following equations have real roots?
I and II only
I and III only
II and III only
I, II and III
In the figure, the curve y = x² + px + q cuts the x-axis at two points A(α, 0) and B(β, 0). M(−2, 0) is the mid-point of AB. (b) If α² + β² = 26, find the value of q.
(a)
In the figure, the graph of y = x² + kx + 3 cuts the x-axis at two points A and B. If the distance between A and B is 2 units,(b) find the coordinates of the mid-point M of A and B.
(a)
What is the vertex of the graph shown above?
(7,6)
(-1,2)
(2,-1)
(5,0)
