Advertisements
Advertisements
Question
Determine the quadratic equation, whose sum and product of roots are `5/3, 4`
Solution
Sum of the roots = `5/3`; Product of the roots = 4
The Quadratic equation is
x2 – (sum of the roots)x + product of the roots = 0
`x^2 - (5/3)x + 4` = 0
⇒ `x^2 - 5/3x + 4` = 0
3x2 – 5x + 12 = 0
APPEARS IN
RELATED QUESTIONS
Determine the quadratic equation, whose sum and product of roots are – (2 – a)2, (a + 5)2
Find the sum and product of the roots for the following quadratic equation
3y2 – y – 4 = 0
Solve the following quadratic equation by factorization method
3(p2 – 6) = p(p + 5)
The number of volleyball games that must be scheduled in a league with n teams is given by G(n) = `("n"^2 - "n")/2` where each team plays with every other team exactly once. A league schedules 15 games. How many teams are in the league?
Solve the following quadratic equation by completing the square method
9x2 – 12x + 4 = 0
Solve the following quadratic equation by formula method
3y2 – 20y – 23 = 0
There is a square field whose side is 10 m. A square flower bed is prepared in its centre leaving a gravel path all round the flower bed. The total cost of laying the flower bed and gravelling the path at ₹ 3 and ₹ 4 per square metre respectively is ₹ 364. Find the width of the gravel path
Find the value of ‘k’ to identify the roots of the following equation is real and equal
kx2 + (6k + 2)x + 16 = 0
If a, b are real then show that the roots of the equation (a – b)x2 – 6(a + b)x – 9(a – b) = 0 are real and unequal
The number of points of intersection of the quadratic polynomial x2 + 4x + 4 with the X axis is
