English

Find the Value of Discriminant for Each of the Following Equations. 5 M 2 − M = 0 - Algebra

Advertisements
Advertisements

Question

Find the value of discriminant of the following equation.

5m2 - m = 0

Sum

Solution

5m2 - m = 0

For the quadratic equation, \[a x^2 + bx + c = 0\] 

D = b2 - 4ac

Here,  

a = 5, b = - 1, c = 0
\[\text{D} = \left( - 1 \right)^2 - 4 \times 5 \times 0 = 1\]

shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Quadratic Equations - Problem Set 2 [Page 54]

APPEARS IN

Balbharati Algebra (Mathematics 1) [English] 10 Standard SSC Maharashtra State Board
Chapter 2 Quadratic Equations
Problem Set 2 | Q 3.2 | Page 54

RELATED QUESTIONS

Compare the given quadratic equation to the general form and write values of a, b, c.

x2 – 7x + 5 = 0


Solve using formula.

x2 + 6x + 5 = 0


Solve using formula.

x2 – 3x – 2 = 0


Solve using formula.

3m2 + 2m – 7 = 0


Solve using formula.

5x2 + 13x + 8 = 0


The roots of the following quadratic equation is real and equal, find k.

3y+ ky +12 = 0


The roots of the following quadratic equation is real and equal, find k.

 kx (x – 2) + 6 = 0


Find the value of discriminant of the following equation.

\[\sqrt{5} x^2 - x - \sqrt{5} = 0\]


Two roots of quadratic equation is given ; frame the equation.

 10 and –10


Determine the nature of root of the quadratic equation.

\[3 x^2 - 5x + 7 = 0\]


Determine the nature of root of the quadratic equation.

\[\sqrt{3} x^2 + \sqrt{2}x - 2\sqrt{3} = 0\]


Determine the nature of root of the quadratic equation.

m2 - 2m + 1 = 0


The sum of two roots of a quadratic equation is 5 and sum of their cubes is 35, find the equation.


Mukund possesses Rs 50 more than what Sagar possesses. The product of the amount they have is 15,000. Find the amount each one has.

 

 


If α and β are the roots of the equation is 3x2 + x – 10 = 0, then the value of `1/α + 1/β` is ______.


If 2 and 5 are the roots of the quadratic equation, then complete the following activity to form quadratic equation:

Activity:

Let α = 2 and β = 5 are the roots of the quadratic equation.

Then quadratic equation is:

x2 − (α + β)x + αβ = 0

∴ `x^2 - (2 + square)x + square xx 5 = 0`

∴ `x^2 - square x + square = 0`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×