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
Solve the following quadratic equation by formula method
3y2 – 20y – 23 = 0
From a group of 2x2 black bees, square root of half of the group went to a tree. Again eight-ninth of the bees went to the same tree. The remaining two got caught up in a fragrant lotus. How many bees were there in total?
Determine the nature of the roots for the following quadratic equation
15x2 + 11x + 2 = 0
Determine the nature of the roots for the following quadratic equation
x2 – x – 1 = 0
Determine the nature of the roots for the following quadratic equation
9a2b2x2 – 24abcdx + 16c2d2 = 0, a ≠ 0, b ≠ 0
If the roots of (a – b)x2 + (b – c)x + (c – a) = 0 are real and equal, then prove that b, a, c are in arithmetic progression
Write the following expression in terms of α + β and αβ
(3α – 1) (3β – 1)
The roots of the equation x2 + 6x – 4 = 0 are α, β. Find the quadratic equation whose roots are α2β and β2α
If α, β are the roots of 7x2 + ax + 2 = 0 and if β – α = `(-13)/7` Find the values of a
If one root of the equation 3x2 + kx + 81 = 0 (having real roots) is the square of the other then find k