हिंदी

If One of the Equation X2 + Ax + 3 = 0 is 1, Then Its Other Root is - Mathematics

Advertisements
Advertisements

प्रश्न

If one of the equation x2 + ax + 3 = 0 is 1, then its other root is

विकल्प

  • 3

  • -3

  • 2

  • 1

MCQ
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`.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Quadratic Equations - Exercise 4.15 [पृष्ठ ८५]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
अध्याय 4 Quadratic Equations
Exercise 4.15 | Q 29 | पृष्ठ ८५

संबंधित प्रश्न

Solve the following quadratic equation for x4x2  4a2x + (a4  b4) =0.


Solve for x :

`2/(x+1)+3/(2(x-2))=23/(5x), x!=0,-1,2`


 Find two consecutive positive integers, sum of whose squares is 365.


Solve the following quadratic equations by factorization:

`x^2-(sqrt2+1)x+sqrt2=0`


Divide 29 into two parts so that the sum of the squares of the parts is 425.


The sum of the squares of the two consecutive odd positive integers as 394. Find them.


Find the consecutive even integers whose squares have the sum 340.


The sum of two number a and b is 15, and the sum of their reciprocals `1/a` and `1/b` is 3/10. Find the numbers a and b.


A passenger train takes 2 hours less for a journey of 300 km if its speed is increased by 5 km/hr from its usual speed. Find the usual speed of the train.


If the list price of a toy is reduced by Rs. 2, a person can buy 2 toys more for Rs. 360. Find the original price of the toy.


The sum of the squares to two consecutive positive odd numbers is 514. Find the numbers. 


The sum of natural number and its reciprocal is `65/8` Find the number 


If the equation ax2 + 2x + a = 0 has two distinct roots, if 


Solve the following equation : `"ax"^2 + (4"a"^2 - 3"b")"x" - 12"ab" = 0`


The area of right-angled triangle is 600cm2. If the base of the triangle exceeds the altitude by 10cm, find the dimensions of the triangle.


Divide 29 into two parts so that the sum of the square of the parts is 425.


Solve the following quadratic equation by factorisation method:
`x/(x + 1) + (x + 1)/x = (34)/(15') x ≠ 0, x ≠ -1`


In each of the following, determine whether the given values are solution of the given equation or not:
`a^2x^2 - 3abx + 2b^2 = 0; x = a/b, x = b/a`.


Solve the following equation by factorization

`(1)/(7)(3x  – 5)^2`= 28


A wire ; 112 cm long is bent to form a right angled triangle. If the hypotenuse is 50 cm long, find the area of the triangle.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×