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 equation for x : 4x2 − 4a2x + (a4 − b4) =0.
Solve the following quadratic equations by factorization:
48x2 − 13x − 1 = 0
Ashu is x years old while his mother Mrs Veena is x2 years old. Five years hence Mrs Veena will be three times old as Ashu. Find their present ages.
Solve the following quadratic equation by factorisation.
2m (m − 24) = 50
If sin α and cos α are the roots of the equations ax2 + bx + c = 0, then b2 =
Find two natural numbers which differ by 3 and whose squares have the sum of 117.
A two digit positive number is such that the product of its digits is 6. If 9 is added to the number, the digits interchange their places. Find the number.
A car covers a distance of 400 km at a certain speed. Had the speed been 12 km/hr more, the time taken for the journey would have been 1 hour 40 minutes less. Find the original speed of the car.
Solve the following equation by factorization
(x – 4)2 + 52 = 132
If `x + 1/x = 2.5`, the value of x is ______.
