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Sinachi
Questions (351)
Solve the equation x^2-y^2=24, 1/(x+y) + 3/(x-y) = 11/12
1 answer
91 views
f(x)=x^2+ax+b. If f(1)=3 and one of the roots of the equation f(x)=0 doubles the other find the values of a and b
1 answer
89 views
Using the substitution u=x-2, write x^3 + 5/(x-2)^4 as an expression in terms of u. Use the answer to express x^3 + 5/(x-2)^4 in
1 answer
124 views
Find the term independent of y in the expansion ((x^4/y^3)+(y^2/2x))^10
1 answer
128 views
Express 3+5/(x+1)(2x^2+7) as a sum of partial fractions
1 answer
157 views
If the coefficients of X^2 and X^3 in the expansion of (3+kx)^9 are equal, find the value of k.
1 answer
120 views
Find the term independent of y in the expansion (x^4/y^3+y^2/2x)^10
1 answer
129 views
Find the coefficient of X^6 in the expansion of (1/x^2-x)^18
1 answer
76 views
Write the four terms of the binomial expansion (2-1/x)^5 in ascending powers of X. Hence find (1.9)^5
2 answers
158 views
The second, third and fourth terms in the expansion (a+b)^n are 12 60 and 160 respectively. Calculate the values of a, b and n
2 answers
84 views
Two mathematics books, 5 different physics books and 3 different chemistry books are to be arranged on a shelf. How many
1 answer
134 views
Using mathematical induction show that 1^3+2^3+3^3...+n^3=1/4n^2(n+1)^2 for all n € Ñ
1 answer
106 views
Say whether the following is true or false. If true, prove using mathematical induction. If false, give a counter-example.
2 answers
117 views
Say whether the following is true or false. If true, prove using mathematical induction. If false, give a counter-example.
2 answers
192 views
Prove by mathematical induction that the sum of the first n terms of the geometric series 1/5 + 1/5^2 + ... is 1/4(1-1/5^n+1)
1 answer
97 views
Find the value of X where 2+9√x/2√3-3√3x=√3+2√2
1 answer
67 views
Use mathematical induction to justify that if 1+x>0, then for all n € Ñ, (1+x)^n>1+nx
1 answer
107 views
Find the relation between p, q and r if one root of the equation px^2+qx+r=0 is double of the other
1 answer
109 views
If α and β are the roots of the equation x^2-px+q=0, form the equation whose roots are α/β^2 and β/α^2
1 answer
76 views
Express 3+5/(x+1)(2x^2+7) as a sum of partial fractions
1 answer
116 views
Express 5x^2+7x+8/(x+1)(x^2+2x+3) as a sum of partial fractions
1 answer
121 views
Resolve 3x^3-x^2-13x-13/x^2-x-6 into partial fractions
1 answer
104 views
Resolve x+62/(3x-1)^2(2x+3) into partial fractions
1 answer
108 views
Resolve x+62/(3x-1)^2(2x+3)
1 answer
84 views
Using (u+2)^3 + 5/u^4 express x^3+5/(x-2)^4 in partial fractions
1 answer
142 views
Using the substitution u=x-2, write x^3 + 5/(x-2)^4 as an expression in terms of u
1 answer
109 views
Find the range of values of X for which a) x-2/x+3 <0 b) x^3 - 2x^2-2>0
1 answer
81 views
If X and y are positive numbers, show that (x+y)(1/x + 1/y)>4
1 answer
134 views
If X and yard positive numbers, show that (x+y)(1/x + 1/y)>4
1 answer
87 views
Verify that the set of rational numbers, together with the usual addition and multiplication operations, is a field
1 answer
93 views
Demonstrate the three axioms of a field that are not satisfied by the set {... -4, -2, 0, 2, 4, 6...} under the usual operations
1 answer
135 views
Solve the equation 2x^2-x-4+√2x^2-x+8=30
1 answer
77 views
Express the polar form of zw, z/w and 1/z where; z=4(√3+i), w=-3-3i
1 answer
88 views
Express the polar form of zw, z/w and 1/z where; z=4√3-4i, w=8i
1 answer
86 views
Prove that tanx/1+sec x - tan x/1-sec x=2 cosec x
1 answer
121 views
A binary operation * is defined on the set of rational numbers by m*n=m^2-n^2/2mn, m, n is not equal to 0. Find -3*2. Is *
1 answer
98 views
Find Φ given that 2cos^2Φ=3+5cosΦ and 0<Φ<360
1 answer
80 views
The 2nd 3rd and 4th term of an aritmetic progression
are x-2, 5 and x+2 respectively. Find x
2 answers
127 views
Express the series in summation notation where the sums are to n terms. 1-3 + 9-27 +...
2 answers
127 views
Express the series in summation notation where the sums are to n terms. 1*3^2+2*4^2+3*5^2
2 answers
136 views
The 2nd 3rd and 4th term of an ap are x-2, 5 and x+2 respectively. Find x
1 answer
132 views
If u1=-1, u2=-5 and ur=a+br, find a, b and u6
1 answer
118 views
Find the modulus and argument of this complex numbers 5+i/2+3i
1 answer
161 views
Express (1+i)^20 in the form a+ib
1 answer
85 views
Write z=1+√3i/2 in modulus arguement form. Hence evaluate z^8-2z^4-1
1 answer
104 views
Find cosπ/12 and 7π/12 using the known values of sine cosine and tan of π/3 and π/4
1 answer
103 views
Solve for real X and y
X+yi=(1-i)(2+8i)
1 answer
76 views
Find the complex numbers z and W such that z+w=4+3i and z-iw=3-2i
2 answers
83 views
The sum of the first three terms of a geometric series is 37/8. The sum of the first six terms is 3367/512. Find the first term
1 answer
115 views
How many terms are there in the geometric progression 2, 4, 8...,128?
3 answers
118 views
Two geometric progressions have equal sums to infinity. Their first terms are 27 and 36 respectively. If the common ratio of the
1 answer
152 views
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