Advertisements
Advertisements
प्रश्न
Solve the following quadratic equations by factorization:
48x2 − 13x − 1 = 0
उत्तर
We have been given
48x2 - 13x - 1 = 0
48x2 - 16x + 3x - 1 = 0
16x(3x - 1) + 1(3x - 1) = 0
(16x + 1)(3x - 1) = 0
Therefore,
16x + 1 = 0
16x = -1
x = -1/16
or,
3x - 1 = 0
3x = 1
x = 1/3
Hence, x = -1/16 or x = 1/3
APPEARS IN
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
4x2 + 4bx - (a2 - b2) = 0
Two number differ by 4 and their product is 192. Find the numbers?
The hypotenuse of a right triangle is 25 cm. The difference between the lengths of the other two sides of the triangle is 5 cm. Find the lengths of these sides.
Solve the following quadratic equation by factorisation.
x2 + x – 20 = 0
Solve the following quadratic equation by factorisation.
`sqrt2 x^2 + 7x + 5sqrt2 = 0` to solve this quadratic equation by factorisation, complete the following activity.
`sqrt2 x^2 + 7x + 5sqrt2 = 0`
`sqrt2x^2+square+square+5sqrt2=0`
`x("______") + sqrt2 ("______") = 0`
(______) (x + 2) = 0
(______) = 0 or (x + 2) = 0
∴ x = `square` or x = - 2
∴ `square` and `sqrt(-2)` are roots of the equation.
The product of a girl's age five years ago and her age 3 years later is 105. Find her present age.
An aeroplane travelled a distance of 400 km at an average speed of x km/hr. On the return journey the speed was increased by 40 km/hr. Write down the expression for the time taken for
The outward journey
Solve the following equation by factorization
`(x + 1)/(x - 1) + (x - 2)/(x + 2)` = 3
Solve the following quadratic equation by factorisation method:
x2 + x – 20 = 0
Find the roots of the quadratic equation x2 – x – 2 = 0.
