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Determine whether the values given against the quadratic equation are the roots of the equation. Solve the following quadratic equation by factorisation. Compare the given quadratic equation to the general form and write values of a,b, c.
Sum of the roots of a quadratic equation is double their product. In the orange garden of Mr. Madhusudan there are orange trees. The number of trees in each row is 5 more than that in each column. Find the number of trees in each row and each column with the help of following flow chart.
Vivek is older than Kishor by 5 years. Suyash scored 10 marks more in second test than that in the first. Find his score in the first test. Kasam runs a small business of making earthen pots. He makes certain number of pots on daily basis. Production cost of each pot is Rs 40 more than 10 times total number of pots, he makes in one day. If production cost of all pots per day is Rs , find production cost of one pot and number of pots he makes per day. Pratik takes 8 hours to travel 36 km down stream and return to the same spot.
The speed of boat in still water is 12 km. Find the speed of water current. Pintu takes 6 days more than those of Nishu to complete certain work. If they work together they finish it in 4 days. How many days would it take to complete the work if they work alone. If is divided by a natural number, quotient is 6 more than five times the divisor and remainder is 1. Find quotient and diviser. In the adjoining fig.
Fill in the empty boxes to get the solution. Choose the correct answer for the following question. Which one is the quadratic equation? Out of the following equations which one is not a quadratic equation? Which of the following quadratic equations has roots 3,5? The sum of two roots of a quadratic equation is 5 and sum of their cubes is 35, find the equation. Find quadratic equation such that its roots are square of sum of the roots and square of difference of the roots of equation.
The difference between squares of two numbers is The square of smaller number is twice the greater number. Find the numbers. Ranjana wants to distribute oranges among some students.
If 30 students were more each would get 3 oranges less. Find the number of students. Dinesh owns an agricultural farm at village Talvel.
The length of the farm is 10 meters more than twice the breadth. In order to harvest rainwater, he dug a square-shaped pond inside the farm. The area of the farm is 20 times the area of the pond. Find the length and breadth of the farm and of the pond. A tank fills completely in 2 hours if both the taps are open. If only one of the taps is open at the given time, the smaller tap takes 3 hours more than the larger one to fill the tank.
How much time does each tap take to fill the tank completely? This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Further, we at Shaalaa. Balbharati textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students. The questions involved in Balbharati Solutions are important questions that can be asked in the final exam.
Question Papers. Question Papers Textbook Solutions Important Solutions Question Bank Solutions Time Tables Advertisement Remove all ads. Free e-book. Chapter 2: Quadratic Equations Practice Set 2. Practice Set 2. Decide whether the following equation is quadratic equation or not.
Solve the following quadratic equation by factorization. Solve the following quadratic equation by completing the square method. Compare the given quadratic equation to the general form and write values of a, b, c. Solve using formula. Fill in the gaps and complete. Fill in the gap and complete. Find the value of discriminant. Determine the nature of roots of the following quadratic equation. Form the quadratic equation from the roots given below.
The roots of the following quadratic equation is real and equal, find k. Find her present age. The sum of squares of two consecutive natural numbers is ; find the numbers. Problem Set 2 [Pages 53 - 54]. Problem Set 2 Q 1. Out of the following equations, find the equation having the sum of its roots �5. Problem Set 2 Q 2. Which is the following equation quadratic? Problem Set 2 Q 3. Find the value of discriminant of the following equation.
Problem Set 2 Q 4 Page Problem Set 2 Q 5. Two roots of quadratic equation is given ; frame the equation. Problem Set 2 Q 6. Determine the nature of root of the quadratic equation. Problem Set 2 Q 7. Solve the following quadratic equation. Problem Set 2 Q 8 Page Problem Set 2 Q 9 Page Problem Set 2 Q 10 Page Problem Set 2 Q 11 Page Mukund possesses Rs 50 more than what Sagar possesses.
The product of the amount they have is 15, Find the amount each one has. Problem Set 2 Q 12 Page Problem Set 2 Q 13 Page Problem Set 2 Q 14 Page Problem Set 2 Q 15 Page Share 0.
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