हिंदी

Decide whether the following equation is quadratic equation or not. yyy2+1y=2 - Algebra

Advertisements
Advertisements

प्रश्न

Decide whether the following equation is quadratic equation or not.

`"y"^2 + 1/"y" = 2`

योग

उत्तर

`"y"^2 + 1/"y" = 2`

∴ `"y" xx "y"^2 + "y" xx 1/"y" = "y" xx 2` ....[Multiplying both sides by y]

∴ y3 + 1 = 2y

∴ y3 − 2y + 1 = 0

Here y is the only variable and the maximum index of the variable is not 2.

∴ It is not a quadratic equation.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Quadratic Equations - Practice Set 2.1 [पृष्ठ ३४]

APPEARS IN

बालभारती Algebra (Mathematics 1) [English] 10 Standard SSC Maharashtra State Board
अध्याय 2 Quadratic Equations
Practice Set 2.1 | Q 2.3 | पृष्ठ ३४

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

The roots of a quadratic equation are 5 and -2. Then, the equation is 

(a)`x^2-3x+10=0`  (b)`x^2-3x-10=0` (c)x^2+3x-10=0 (d)`x^2+3x+10=0` 

 


If the roots of the equation` ax^2+bx+c=0` are equal then c=?   

(a)`b/(2a)`   (b) `b/(2a)`  (c) `-b^2/(4a)`  (d) `B^2/(4a)`


The roots of the equation `2x^2-6x+3=0` are

(a) real, unequal and rational (b) real, unequal and irrational (c) real and equal (d) imaginary 


The length of a rectangular field exceeds its breadth by 8 m and the area of the field is `240 m^2` . The breadth of the field is

(a) 20 m (b) 30 m (c) 12 m (d) 16 m


The roots of the quadratic equation `2x^2-x-6=0` 

(a)`-2, 3/2`                           (b) `2, -3/2` 

(c)` -2, 3/2`                           (d) `2, 3/2` 


If `x=-1/2` is a solution of the quadratic equation  `3x^2+2kx-3=0` 

Find the value of k. 


If the roots of the quadratic equation `px(x-2)+=0`  are equal, find the value of p


Solve` 4sqrt3x^2+5x-2sqrt3=0`


Decide whether the following equation is quadratic equation or not.

x2 + 5x – 2 = 0


Pintu takes 6 days more than those of Nishu to complete certain work. If they work together they finish it in 4 days. How many days would it take to complete the work if they work alone. 


Choose the correct answer for the following question.

The roots of x2 + kx + k = 0 are real and equal, find k.


Which is the following equation quadratic?

x2 + 2x + 11 = 0


is the following equation quadratic?

\[\left( x + 2 \right)^2 = 2 x^2\] 


Solve the following quadratic equation.

`1/(x + 5) = 1/x^2`


Solve any two of the following. 

Solve : `3x+y=14 ; x-y=2` 


Solve the following quadratic equation :
x2 +8x + 15 = 0


Find c if the system of equations cx+3y+(3 - c ) = 0, 12x + cy - c = 0 has infinitely many solutions?


When the son will be as old as his father today, the sum of their ages then will be 126 years. when the father was as old his son is today. The sum of their ages was 38 years. Find their presents ages.


Write the degree of Polynomial 5x2 + 2x + 3x4 + 4. 


Complete the following activity to form a quadratic equation.  
Activity: 


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×