Advertisements
Advertisements
प्रश्न
Solve the following quadratic equation by factorization:
`sqrt(6)x^2 - 4x - 2sqrt(6) = 0`
Advertisements
उत्तर
`sqrt(6)x^2 - 4x - 2sqrt(6) = 0`
Here `a = sqrt(6), b = -4` and `c = -2sqrt(6)`
Then `x = (-b +- sqrt(b^2 - 4ac))/(2a)`
= `(-(-4) +- sqrt((-4)^2 - 4(sqrt(6))(-2sqrt(6))))/(2(sqrt(6))`
= `(4 +- sqrt(64))/(2sqrt(6))`
= `(4 +- 8)/(2sqrt(6))`
= `(4 + 8)/(2sqrt(6))` and `(4 - 8)/(2sqrt(6))`
= `6/sqrt(6)` and `(-2)/sqrt(6)`
= `sqrt(6)` and `(-sqrt(6))/3`
संबंधित प्रश्न
Solve the following quadratic equations by factorization:
48x2 − 13x − 1 = 0
A passenger train takes one hour less for a journey of 150 km if its speed is increased by 5 km/hr from its usual speed. Find the usual speed of the train.
For the equation given below, find the value of ‘m’ so that the equation has equal roots. Also find the solution of the equation:
3x2 + 12x + (m + 7) = 0
Solve the following quadratic equation by factorisation.
25m2 = 9
Solve the following quadratic equations by factorization: \[\frac{3}{x + 1} - \frac{1}{2} = \frac{2}{3x - 1}, x \neq - 1, \frac{1}{3}\]
Is there any real value of 'a' for which the equation x2 + 2x + (a2 + 1) = 0 has real roots?
If the equations \[\left( a^2 + b^2 \right) x^2 - 2\left( ac + bd \right)x + c^2 + d^2 = 0\] has equal roots, then
The sum of the ages of a father and his son is 45 years. Five years ago, the product of their ages was 124. Determine their present ages.
The present age of the mother is square of her daughter's present age. 4 years hence, she will be 4 times as old as her daughter. Find their present ages.
Solve the following equation by factorization
`(x^2 - 5x)/(2)` = 0
