Advertisements
Advertisements
प्रश्न
If one of the equation x2 + ax + 3 = 0 is 1, then its other root is
विकल्प
3
-3
2
1
Advertisements
उत्तर
Let `alpha and beta`be the roots of quadratic equation`x^2 + ax + 3 =0`in such a way that `alpha = 1`
Here, a = 1, b = a and ,c = 3
Then , according to question sum of the roots
`alpha + beta = (-b)/ a`
`1 + beta = (-a)/1`
`beta = -a -1`
And the product of the roots
`alpha . beta = 3/1`
`1 xx beta = 3`
`beta = 3`
Therefore, value of other root be `beta = 3`.
APPEARS IN
संबंधित प्रश्न
Solve for x: `(x-3)/(x-4)+(x-5)/(x-6)=10/3; x!=4,6`
Solve the following quadratic equations by factorization:
`sqrt2x^2-3x-2sqrt2=0`
Solve the following quadratic equations by factorization:
x2 + 2ab = (2a + b)x
Solve the following quadratic equations by factorization:
a2b2x2 + b2x - a2x - 1 = 0
The difference of two numbers is 4. If the difference of their reciprocals is 4/21. Find the numbers.
The product of Shikha's age five years ago and her age 8 years later is 30, her age at both times being given in years. Find her present age.
Solve:
`1/(x + 1) - 2/(x + 2) = 3/(x + 3) - 4/(x + 4)`
Solve each of the following equations by factorization:
`9/2x=5+x^2`
Solve the following quadratic equations by factorization:
`x^2 – (a + b) x + ab = 0`
`7x^2+3x-4=0`
The sum of the squares of two consecutive positive integers is 365. Find the integers.
Solve the following quadratic equation by factorisation.
3x2 - 2√6x + 2 = 0
If −5 is a root of the quadratic equation\[2 x^2 + px - 15 = 0\] and the quadratic equation \[p( x^2 + x) + k = 0\] has equal roots, find the value of k.
Solve the following equation: abx2 +(b2-ac) x - bc = 0
Solve the following quadratic equation using formula method only
x2 - 6x + 4 = 0
The speed of a boat in still water is 15km/ hr. It can go 30km upstream and return downstream to the original point in 4 hours 30 minutes. Find the speed of the stream.
Solve equation using factorisation method:
`4/(x + 2) - 1/(x + 3) = 4/(2x + 1)`
Solve the following equation by factorization
6p2+ 11p – 10 = 0
The difference between the squares of two numbers is 45. The square of the smaller number is 4 times the larger number. Determine the numbers.
Find a natural number whose square diminished by 84 is equal to thrice of 8 more than the given number.
