Download WORKSHEET - 10/ CLASS – X/ Algebra (Quadratic Equations) 1

WORKSHEET - 10/ CLASS – X/ Algebra (Quadratic Equations)
1) Solve the following equations by using quadratic formula and give your answer correct to two decimal places:
(a) x2 – 3x – 9 = 0
(b) 2 x 
1
7
x
2) Solve the following equations:
(a) x 
18
 6 (Give your answer correct to two significant figures)
x
(b) 5x2 – 3x – 4 =0 (Give your answer correct to three significant figures)
3) Without solving the quadratic equations, find the value of p for which the given equations have real and equal
roots:
(a) px2 – 4x + 3 = 0
(b) x2 + (p – 3)x + p = 0
(c) x2 + 2(m – 1)x + (m + 5) = 0
WORKSHEET - 11/ CLASS – X/ Algebra (Word Problems on Quadratic Equations)
1) The sum of squares of two positve integers is 208. If square of the larger number is 18 times the smaller number,
find the numbers.
2) The sum of the squares of three consecutive even integers is 200. Find the integers.
3) A two digit number contains the smaller of the two digits at its unit place. The product of the digits is 24 and the
difference between the digits is 5. Find the number.
4) Sonal can row a boat at a speed of 5km/hr. If it takes her 1 hour more to row the boat 5.25km upstream than to
return downstream, find the speed of the stream.
5) Two pipes running together can fill a tank in 11
1
minutes. If one pipe takes 5 minutes more than the other to
9
fill the tank, find the time in which each pipe would fill the tank.
6) Rs. 6500 is divided equally among a certain number of persons. Had there been 15 more persons, each would
have got Rs. 30 less. Find the original number of persons.