Question

if the roots of the equation given below are equal then the value of P is the equation is 3 x square - 4 x + c is equal to zero​

Answer 1

Step-by-step explanation:

Eq: 3x²-4x+c=0

If roots are equal then:

discriminant value: b²-4ac=0

(-4)²-4(3)c=0

16-12c=0

16=12c

16/12=4/3=c

The equation will be

3x²-4x+4/3=0

9x²-12x+4=0

Answer 2

Answer:

Given equation is 3x

2

−4x+3=0

To find, the nature of the roots of the equation

An equation is said to have

(i) two distinct and real roots if the discriminant b

2

−4ac>0

(ii) equal real roots if b

2

−4ac=0

(iii) no real roots or imaginary roots if b

2

−4ac<0

In the given equation a=3,b=−4,c=3

Hence the discriminant is (−4)

2

−4(3)(3)=16−36=−20<0

Therefore the roots of the given equation are imaginary in nature.