Advertisements
Advertisements
प्रश्न
Find the sum and product of the roots for the following quadratic equation
x2 + 3x – 28 = 0
उत्तर
x2 – (– 3)x + (– 28) = 0.
Comparing this with x2 – (α + β)x + αβ = 0.
(α + β) = Sum of the roots = – 3
αβ = product of the roots = – 28
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
4x2 – 7x – 2 = 0
A bus covers a distance of 90 km at a uniform speed. Had the speed been `(15"km")/"hour"` more it would have taken 30 minutes less for the journey. Find the original speed of the bus
A pole has to be erected at a point on the boundary of a circular ground of diameter 20 m in such a way that the difference of its distances from two diametrically opposite fixed gates P and Q on the boundary is 4 m. Is it possible to do so? If answer is yes at what distance from the two gates should the pole be erected?
Determine the nature of the roots for the following quadratic equation
`9y^2 - 6sqrt(2)y + 2` = 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
Write the following expression in terms of α + β and αβ
`(alpha + 3)/beta + (beta + 3)/alpha`
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 2y2 – ay + 64 = 0 is twice the other then find the values of a
The number of points of intersection of the quadratic polynomial x2 + 4x + 4 with the X axis is