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Mathematics
WAEC / WASSCE 2023
Quadratic Equations
Solution
Find the roots of the equations: 3m\(^2\) - 2m - 65 = 0
A
\(( -5, \frac{-13}{3})\)
B
\(( 5, \frac{-13}{3})\)
C
\(( 5, \frac{13}{3})\)
D
\(( -5, \frac{13}{3})\)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2023
Quadratic Equations
Solution
Factorize completely: \(x^2 - (y + z)^2\)
A
(x - y - z)(x - y - z)
B
(x + y + z)(x - y - z)
C
(x + y + z)(x + y - z)
D
(x + y - z)(x - y + z)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2023
Quadratic Equations
Solution
Find the quadratic equation whose roots are \(\frac{2}{3} and \frac{- 3}{4}\)
A
\(12y^2 - y - 6 = 0\)
B
\(12y^2 - y + 6 = 0\)
C
\(12y^2 + y - 6 = 0\)
D
\(y^2 + y - 6 = 0\)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2022
Quadratic Equations
Solution
If the equations x\(^2\) - 5x + 6 = 0 and x\(^2\) + px + 6 = 0 have the same roots, find the value of p.
A
5
B
6
C
-5
D
-6
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2022
Quadratic Equations
Solution
Solve 6x\(^2\) = 5x - 1
A
x = 2,3
B
x = 0,3
C
x = \(\frac{1}{2}\), \(\frac{1}{3}\)
D
x = \(\frac{1}{2}\), \(\frac{-1}{3}\)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2021
Quadratic Equations
Solution
Find The quadratic Equation Whose Roots Are -2q And 5q.
A
3x\(^2\) + 3qx - 10q\(^2\)
B
x\(^2\) + 3qx + 10q\(^2\)
C
x\(^2\) - 3qx + 10q\(^2\)
D
x\(^2\) - 3qx - 10q\(^2\)
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2021
Quadratic Equations
Solution
(a) Copy and complete the table of values for the relation y=2x\(^2\) - x - 2 for 4 ≤ x ≤ 4.
x
-4
-3
-2
-1
0
1
2
3
4
y
19
-2
26
(b) Using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 5 units on the y-axis, draw the graph of y = 2x\(^2\) - x - 2 for 4 ≤ x ≤ 4.
(c) On the same axes, draw the graph of y = 2x + 3.
(d) Use the graph to find the: (i) roots of the equation 2x-3r-5 0; (i) range of values of x for which 2x\(^2\) -x - 2<0.
medium Difficulty
Study Solution
Mathematics
WAEC / WASSCE 2000
Quadratic Equations
Solution
(a) Given the expression \(y = ax^{2} - bx - 12\) , find the values of x when a = 1, b = 2 and y = 3.
(b) If \(\sqrt{x^{2} + 1} = \frac{5}{4}\), find the positive value of x.
medium Difficulty
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