Advertisements
Advertisements
प्रश्न
Solve the following quadratic equations by factorization:
5x2 - 3x - 2 = 0
उत्तर
We have been given
5x2 - 3x - 2 = 0
5x2 - 5x + 2x - 2 = 0
5x(x - 1) + 2(x - 1) = 0
(5x + 2)(x - 1) = 0
Therefore,
5x + 2 = 0
5x = -2
x = -2/5
or,
x - 1 = 0
x = 1
Hence, x = -2/5 or x = 1.
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
`x^2-(sqrt3+1)x+sqrt3=0`
Solve the following quadratic equations by factorization:
a2b2x2 + b2x - a2x - 1 = 0
Find k if x = 3 is a root of equation kx2 – 10x + 3 = 0.
Solve the following quadratic equations by factorization: \[\sqrt{3} x^2 - 2\sqrt{2}x - 2\sqrt{3} = 0\]
Solve equation using factorisation method:
`x + 1/x = 2.5`
Solve the equation using the factorisation method:
`(3x -2)/(2x -3) = (3x - 8)/(x + 4)`
Some students planned a picnic. The budget for the food was Rs. 480. As eight of them failed to join the party, the cost of the food for each member increased by Rs. 10. Find how many students went for the picnic.
Solve the following equation by factorisation :
x(x + 1) + (x + 2)(x + 3) = 42
Is 0.2 a root of the equation x2 – 0.4 = 0? Justify
In the centre of a rectangular lawn of dimensions 50 m × 40 m, a rectangular pond has to be constructed so that the area of the grass surrounding the pond would be 1184 m2 [see figure]. Find the length and breadth of the pond.
