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1abx 1a1b1x ab ne 0ans 1abx 1a1b1xgt 1abx -1x 1a 1brarr x - a b xxa b x a b abrarrabxabxab0rarrxabxab0rarrx2
solve by factorizationx2 aab abax1 0x2 aab abax1gt x2 aab x abax aab abagt xxaab abaaaab 0gt x -aab x -aba ab ne
quadratic equations for the things of this world cannot be made known without a knowledge of mathematicssolve
the population of the village is 5000 if in a year the number of males were to increase by 5 and that of a female by 3 annually the population
a cyclist after riding a certain distance stopped for half an hour to repair his bicycle after which he completes the whole journey of 30km at half
when the son will be as old as the father today their ages will add up to 126 years when the father was old as the son is today their ages add upto
when 6 boys were admitted amp 6 girls left the percentage of boys increased from 60 to 75 find the original no of boys and girls in the classans let
in an election contested between a and b a obtained votes equal to twice the no of persons on the electoral roll who did not cast their votes amp
the length of the sides of a triangle are 2x y2 5x3 y 12 and 23 x 2y 52 if the triangle is equilateral find its perimeterans 2x y2 4x
a chemist has one solution which is 50 acid and a second which is 25 acid how much of each should be mixed to make 10 litres of 40 acid
a train covered a certain distance at a uniform speed if the train would have been 6kmhr faster it would have taken 4hours less than the
the larger of two supplementary angles exceeds the smaller by 180 find them ans990810ans x y 1800 x - y
students are made to stand in rows if one student is extra in a row there would be 2 rows less if one student is less in a row there would be 3 rows
find the value of p and q for which the system of equations represent coincident lines 2x 3y 7 pq1x p2q2y 4pq1ans a1 2 b1 3 c1 7a2 p q
41x 53y 135 53x 41y 147ans 41x 53 y 135 53 x 41 y 147add the two equations solve it to get x y 3 -------1 subtract solve it to
a2bx 2a- by 2 a - 2bx 2a by 3ans 5b - 2a10ab a 10b10ab ans2ax 4ay y we get 4bx - 2by -12ax 4ay 5 4bx- 2by - 1solve this to
7y 3 - 2x 2 14 4 y - 2 3x - 3 2ans 7y 3 - 2 x 2 14 --------- 14y- 2 3x - 3 2 ----------2from
solve for x yx y - 82 x 2 y - 143 3x y - 1211 ans x2 y6ans x y - 82 x 2y - 14 3
pair of linear equations in two variables like the crest of a peacock so is mathematics at the head of all
if the ratios of the polynomial ax33bx23cxd are in ap prove that 2b3-3abca2d0ans let px ax3 3bx2 3cx
if alpha amp szlig are the zeroes of the polynomial 2x2 - 4x 5 then find the value of aalpha2 szlig2 b 1 alpha 1 szlig c alpha - szlig2 d
if alphabeta are the zeros of a quadratic polynomial such that alpha beta 24 alpha - beta 8 find a quadratic polynomial having alpha and beta as
if the squared difference of the zeros of the quadratic polynomial x2 px 45 is equal to 144 find the value of
on dividing the polynomial 4x4 - 5x3 - 39x2 - 46x - 2 by the polynomial gx the quotient is x2 - 3x - 5 and the remainder is -5x 8find the polynomial
if alpha beta are the zeros of the polynomial x2 8x 6 frame a quadratic polynomial whose zeros are a 1alpha and 1beta b 1 betaalpha 1