Advertisements
Advertisements
प्रश्न
α, β are roots of y2 – 2y –7 = 0 find,
α3 + β3
उत्तर
α, β are roots of y2 – 2y –7 = 0
\[a = 1, b = - 2, c = - 7\]
\[ = \left( 2 \right)^3 - 3\left( - 7 \right)\left( 2 \right)\]
\[ = 8 + 42\]
\[ = 50\]
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equation by completing square method : x2 + 10x + 21 = 0.
Find the roots of the following quadratic equations, if they exist, by the method of completing the square 2x2 + x – 4 = 0
Find the roots of the quadratic equations 2x2 + x + 4 = 0 by applying the quadratic formula.
The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.
Sum of the areas of two squares is 468 m2. If the difference of their perimeters is 24 m, find the sides of the two squares.
Find the roots of the following quadratic equations (if they exist) by the method of completing the square.
`sqrt2x^2-3x-2sqrt2=0`
`sqrt2x^3-3x-2sqrt2=0`
The sum of the areas of two squares is `640m^2` . If the difference in their perimeter be 64m, find the sides of the two square
The area of a right triangle is `600cm^2` . If the base of the triangle exceeds the altitude by 10 cm, find the dimensions of the triangle.
The ratio of the sum and product of the roots of the equation `7x^2-12x+18=0` is
(a) 7:12 (b)7:18 (c)3:2 (d)2:3
Solve the following quadratic equation for x:
`4sqrt3x^2+5x-2sqrt3=0`
Determine the nature of roots of the following quadratic equation.
x2 – 4x + 4 = 0
Determine the nature of roots of the following quadratic equation.
2y2 – 7y + 2 = 0
Sum of the roots of a quadratic equation is double their product. Find k if equation x2 – 4kx + k + 3 = 0
α, β are roots of y2 – 2y –7 = 0 find,
α2 + β2
In a flight of 600 km, an aircraft was slowed due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of the flight increased by 30 minutes. Find the scheduled duration of the flight.
For solving the quadratic equations `"x"^2 + 8"x" =-15` by completing the square method, find the third term.
A chess board contains 64 equal squares and the area of each square is 6.25 cm2. A border round the board is 2 cm wide. The length of the side of the chess board is:
If p2x2 – q2 = 0, then x =?
Find the remainder when p(x) = 3x2 + 2x – 7 is divided by 2x + 1.
