Question

if the roots of the equation 3x^2-4x+c=0 are equal ,then the value of c is​

Answer 1

Answer:

4/3

Step-by-step explanation:

equal  roots

sum of roots,  a+a  = 4/3

    2a=4/3

     a=2/3

product of roots, a*a=a^2=c/3

                        (2/3)^2=c/3

                            c=4/3.

Answer 2

Answer:

If the roots of the equation  $3x^2-4x+C=0$ are equal

then the value of c is​ 4/3

Step-by-step explanation:

Given :

We are given that the quadratic equation

          $3x^2-4x+C=0$

has equal roots.

To Find :

The value of 'c' in the quadratic equation.

Solution :

Since we are given the quadratic equation

          $3x^2-4x+C=0$

By comparing this equation by standard form of quadratic equation

          $ax^2+bx+c=0$

we get

          $a = 3, b=-4$ and $c=C$

Since the quadratic equation has equal roots

so we can say that discriminant is 0

or,       $b^2-4ac=0$

substituting the value of a , b and c we get

          $(-4)^2-4(3)(C)=0$

                 $16-12C=0$

                     $12C=16$

                       $C=\frac{4}{3}$

Hence we get the value of C = 4/3

the quadratic equation is $3x^2-4x+\frac{4}{3}=0$

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