Question:
Ujakar and Keshab attempted to solve a quadratic equation. Ujakar made a mistake in writing down the constant term. He ended up with the roots (4, 3). Keshab made a mistake in writing down the coefficient of x. He got the roots as (3, 2). What will be the exact roots of the orginal quadratic equation?
Ujakar and Keshab attempted to solve a quadratic equation. Ujakar made a mistake in writing down the constant term. He ended up with the roots (4, 3). Keshab made a mistake in writing down the coefficient of x. He got the roots as (3, 2). What will be the exact roots of the orginal quadratic equation?
Updated On: Jul 26, 2024
- (6,1)
- (–3, –4)
- (4,3)
- (–4, –3)
- (5,–3)
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
The correct option is (A): (6,1)
Was this answer helpful?
0
0
Top Questions on Quadratic Equation
- The roots \(\alpha\), \(\beta\) of the equation \(3x^2 + \lambda x - 1 = 0\), satisfy \( \frac{1}{\alpha^2} + \frac{1}{\beta^2} = 15 \). The value of \( (\alpha^3 + \beta^3)^2 \) is
- CAT - 2024
- Quantitative Aptitude
- Quadratic Equation
- Let \(x, y, z\) be real numbers such that \(4(x^2 + y^2 + z^2) = a\) and \(4(x - y - z) = 3 + a\), then find the value of \(a\).
- CAT - 2024
- Quantitative Aptitude
- Quadratic Equation
- If the roots of the equation px2 + x + r = 0 are reciprocal to each other, then which one of the following is correct?
- CMAT - 2024
- Quantitative Ability and Data Interpretation
- Quadratic Equation
- If \(\frac{x+y}{x-y}+\frac{x-y}{x+y}=\frac{10}{3}\),then \(\frac xy=\)
- CUET (UG) - 2023
- Mathematics
- Quadratic Equation
- The value of \(\frac{1}{x+1}+\frac{2x}{1-x^2}+\frac{x}{x-1}\) is :
- CUET (PG) - 2023
- Quantitative Aptitude
- Quadratic Equation
View More Questions
Questions Asked in IBSAT exam
- An electronic company conducts a survey of 1500 houses for their products. The survey suggested that 862 houses own TV, 783 houses has AC and 736 houses has washing machine. There were 95 houses having only TV, 136 houses having only AC and 88 houses having only washing machine. There were 398 houses having all the three equipments. How many houses have only TV and washing machine but not AC?
- IBSAT
- Set Theory
- P, Q and E start a joint venture, where in they make an annual profit. P invested one-third of the capital for one-fourth of the time, Q invested one-fourth of the capital for one-half of the time and R invested the remainder of the capital for the entire year. P is a working partner and gets a salary of `10,000 per month. The profit after paying P’s salary is directly proportional to the sum each one has put and also to the square of the number of months for which each has put their sum in the venture. If in a year P earns ` 60,000 more than Q, then how much does P earn?
- IBSAT
- Profit sharing ratio
- The boat will sink when the weight on it increases beyond 350 kg. There is a hole in it through which the water leaks in at the rate of 0.4 kg/s. The weight of the boat is 1200 kg, and the weight of the boatman is 48 kg. The boatman throws out water at the rate of 0.04 kg/s. There are four passengers whose weights are 42.5 kg, 53.5 kg, 43.5 kg and 54.5 kg. How long will the boat float?
- IBSAT
- Number Systems
- Sugar worth 15 per kg and 16 per kg is mixed with a third variety of some other cost in the ratio 1 : 1 : 2. If the mixture is of worth 20 per kg, what would be the cost of the third variety of sugar per kg?
- IBSAT
- Mixtures and Allegations
- Two numbers are in the ratio 8 : 11 and their LCM is 2816. What would be the difference between the two numbers?
- IBSAT
- Number Systems
View More Questions