Question

the roots of equation 3x² - 4x + c =0 are
equal, what is the value of c?​

Answer 1

GIVEN :

The roots of the equation $3x^2-4x+c=0$ are equal  , what is the value of c?

TO FIND :

The value of c  in the given equation.

SOLUTION :

Given quadratic equation is $3x^2-4x+c=0$

Also given that the roots of the given quadratic equation $3x^2-4x+c=0$ are equal.

If the roots of a quadratic equation $ax^2+bx+c=0$ are equal, then the discriminant should be equal to zero

i.e., D = 0

$D = b^2-4ac =0$

=> $b^2-4ac=0$

From the given quadratic equation we have a=3 , b=-4 and c=c

Substituting the values in the formula $b^2-4ac=0$  we get,

[tex](-4)^2 - 4(3)(c) = 0 [/tex]

  16 - 12c = 0

 12c = 16

$c = \frac{16}{12}$

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

∴ The value of c is $\frac{4}{3}$