Advertisements
Advertisements
प्रश्न
Solve the following quadratic equations by factorization:
3x2 = -11x - 10
Advertisements
उत्तर
We have been given
3x2 = -11x - 10
3x2 + 11x + 10 = 0
3x2 + 6x + 5x + 10 = 0
3x(x + 2) + 5(x + 2) = 0
(x + 2)(3x + 5) = 0
Therefore,
3x + 5 = 0
3x = -5
x = -5/3
or,
x + 2 = 0
x = -2
Hence, x = -5/3 or x = -2
APPEARS IN
संबंधित प्रश्न
Find the roots of the following quadratic equation by factorisation:
2x2 + x – 6 = 0
Solve the following quadratic equations by factorization:
`m/nx^2+n/m=1-2x`
Solve the following quadratic equations by factorization:
`1/((x-1)(x-2))+1/((x-2)(x-3))+1/((x-3)(x-4))=1/6`
Solve the following quadratic equations by factorization:
(a + b)2x2 - 4abx - (a - b)2 = 0
Solve the following quadratic equations by factorization:
`x^2+(a+1/a)x+1=0`
The sum of two numbers is 48 and their product is 432. Find the numbers?
Let us find two natural numbers which differ by 3 and whose squares have the sum 117.
A plane left 40 minutes late due to bad weather and in order to reach its destination, 1600 km away in time, it had to increase its speed by 400 km/hr from its usual speed. Find the usual speed of the plane.
A girls is twice as old as her sister. Four years hence, the product of their ages (in years) will be 160. Find their present ages.
A pole has to be erected at a point on the boundary of a circular park of diameter 13 meters in such a way that the difference of its distances from two diametrically opposite fixed gates A and B on the boundary is 7 meters. Is it the possible to do so? If yes, at what distances from the two gates should the pole be erected?
For the equation given below, find the value of ‘m’ so that the equation has equal roots. Also, find the solution of the equation:
(m – 3)x2 – 4x + 1 = 0
Solve the following quadratic equations by factorization:
(x + 1) (2x + 8) = (x+7) (x+3)
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 + sqrt2) = 0`
`("______") = 0 or (x + sqrt2) = 0`
∴ x = `square or x = -sqrt2`
∴ `square` and `-sqrt(2)` are roots of the equation.
Solve the following quadratic equation by factorisation.
25m2 = 9
Solve the following quadratic equations by factorization:\[\frac{1}{x - 3} + \frac{2}{x - 2} = \frac{8}{x}; x \neq 0, 2, 3\]
Solve the following quadratic equations by factorization: \[\frac{x + 1}{x - 1} + \frac{x - 2}{x + 2} = 4 - \frac{2x + 3}{x - 2}; x \neq 1, - 2, 2\]
A quadratic equation whose one root is 2 and the sum of whose roots is zero, is ______.
A two digit number is 4 times the sum of its digit and twice the product of its digit. Find the number.
Five years ago, a woman’s age was the square of her son’s age. Ten years hence, her age will be twice that of her son’s age. Find:
- the age of the son five years ago.
- the present age of the woman.
Solve the following equation by factorization
(x – 3) (2x + 5) = 0
