Class 10 Maths | Quadratic Equations example 9  | CBSE | NCERT | Full Explanation in Easy Language - video Dailymotion

SUJIT SOLANKI

Welcome to our Class 10 Maths series!  In this video, we cover Quadratic Equations example 9 from  CBSE NCERT syllabus. Learn the basics of Quadratic Equations how to solve questions easily with formulas.    #Class_10_Maths,   #NCERT_Class_10_Maths,   #Quadratic_Equations,   #Chapter_4_Maths_Class_10,   #Class_10_Quadratic Equations,   #Maths_Class_10_Chapter_4,   #CBSE_Class_10_Maths,   #NCERT_Maths_Class_10,  #CBSE_Maths_Class_10,   #Quadratic_Equations_Class_10,   #Standard_Form_of_Quadratic Equation #Roots_of_Quadratic_Equation,   #Zeros_of_Quadratic_Equation,   #Solutions_of_Quadratic_Equation

Transcript

00:00So in this video, we are discussing question from standard 10 NCRT book, chapter number 4,

00:07quadratic equation. Find the discriminant of the equation 3x square minus 2x plus 1 by 3

00:15and hence find the nature of its root. Find them if they are 3x. Now, you know what is

00:25discriminant? Discriminant is equal to what? B square minus 4ac. It is denoted by capital

00:43D or delta or triangle in many books. Now, B square minus 4ac, here the given equation

00:52is in the form of quadratic equation. The equation is 3x square minus 2x plus 1 by 3

01:01is equal to 0. We can find by many ways. Okay. Now, what is given? We can compare this with

01:12ax square plus bx plus c is equal to 0, the general form of quadratic equation. So what

01:23is a? a is equal to 3, b, b is equal to minus 2 and c, c is equal to 1 by 3. We can find

01:33discriminant. Discriminant, b square minus 4ac. Now, what is b? Minus 2. Minus 2 square.

01:49Minus 4 into what is a? 3. And what is c? 1 by 3. 3, 3 cancel. So we have minus 2 square

01:59minus 4 and that is equal to 0. For 0, the roots are equal. Okay. D is equal to 0. D is equal

02:13to 0. So roots are equal. Okay. If d is greater than 0, then roots are distinct and real. If d

02:24is less than 0, then roots are imaginary. Okay. So if d is negative number, the roots are imaginary.

02:35The d is positive number, the roots are real. If d is 0, then the roots are same. Okay. Roots are

02:44same. Now see, how we can find the roots? Root x is equal to the value of x is equal to minus b

02:54plus and minus b. That is under root b square minus b square minus 4ac divided by 2a. This

03:06is the common formula for our root. Okay. Now, putting the value x is equal to, what is b?

03:23b is equal to b is equal to minus 2 and a is equal to 3. So b is equal to minus 2. What is

03:33discriminant? 0. Root of 0. 0. 2 into, oh, yep. Here we have a twist. b is equal to minus 2.

03:43b is equal to minus 2. And here we have the negative sign. So minus of minus 2 plus 0 divided

03:55by 2 into a. a is equal to 3. So our answer is minus minus plus 2 divided by 3 to the 6.

04:033 into 2 to the 6. Okay. Hope you understand this. Thank you for watching this video. If you are

04:11a viewer, please subscribe me or follow me.

Class 10 Maths | Quadratic Equations example 9 | CBSE | NCERT | Full Explanation in Easy Language

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