Question

If ax2+bx+c=0 has equal roots. Find the value of c.

Answer 1

Hey


Given equation :-

• ax² + bx + c = 0

• It has equal roots .


To find :-

♦ The value of C .


Solution :-

equation = ax² + bx + c = 0

It has equal roots .

So ,

D = 0

b² - 4ac = 0

b² = 4ac

=> 4 a c = b²

=> c = b² / 4a

So ,

the value of c is :-

b² / 4a


thanks :)

Answer 2

Given:

A quadratic equation ax² + b x + c = 0 has equal roots.

To Find:

The value of c is?

Solution:

The given problem can be solved using the concepts of quadratic equations.    

1. The given quadratic equation is ax² + b x + c = 0

2. For an equation to have equal roots the value of the discriminant is 0,  

=> The discriminant of a quadratic equation px² + qx + r = 0 is given by the formula,  

=> Discriminant ( D ) = $\sqrt{q^2 - 4pr}$.  

=> For equal roots D = 0.  

3. Substitute the values in the above formula,  

=>  D = 0,  

=> √[(b)² - 4(a)(c)] = 0,

=> b² - 4ac = 0,

=> b² = 4ac,

=> c = b²/4a.

4. Hence, the value of c is b²/4a.

Therefore, The value of c is b²/4a.