Advertisements
Advertisements
प्रश्न
Determine the quadratic equation, whose sum and product of roots are – 9, 20
उत्तर
Sum of the roots = – 9 and Product of the roots = 20
The Quadratic equation is
x2 – (sum of the roots) x + product of the roots = 0
x2 – (– 9) x + 20 = 0
⇒ x2 + 9x + 20 = 0
APPEARS IN
संबंधित प्रश्न
Find the sum and product of the roots for the following quadratic equation
x2 + 3x = 0
Solve the following quadratic equation by factorization method
`2x^2 - x + 1/8` = 0
Solve the following quadratic equation by completing the square method
`(5x + 7)/(x - 1)` = 3x + 2
Solve the following quadratic equation by formula method
2x2 – 5x + 2 = 0
Solve the following quadratic equation by formula method
`sqrt(2)"f"^2 - 6"f" + 3sqrt(2)` = 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
Determine the nature of the roots for the following quadratic equation
9a2b2x2 – 24abcdx + 16c2d2 = 0, a ≠ 0, b ≠ 0
Write the following expression in terms of α + β and αβ
`alpha/(3beta) + beta/(3alpha)`
The roots of the equation 2x2 – 7x + 5 = 0 are α and β. Without solving for the roots, find `1/alpha + 1/beta`
If one root of the equation 3x2 + kx + 81 = 0 (having real roots) is the square of the other then find k
