Question

If ax^2+bx+c=0 has equal roots. Find the value of c

Answer 1

Answer:

c = b²/4a

Step-by-step explanation:

ax² + bx + c = 0 has equal roots  

So, Discriminant D = b²- 4ac = 0

      0 = b² - 4ac

      -b²/-4a = c

        c = b²/4a

Answer 2

c = b²/4a

Step-by-step explanation:

Given:

ax² + bx + c has equal roots.

To find:

The value of c

Solution:

We can solve by using Discriminat .

What is discriminat ?

The discriminant is the part of the quadratic equation in which the square root symbol: (coefficient of x)²- 4(coefficient of x²)(constant). The discriminant tells us whether there are two solutions, one solution, or no solutions.

When the quadratic equation have equal roots then the discriminant is equal to zero.

So,

${b}^{2} - 4ac = 0 \\ \\Or, \: {b}^{2} =4ac \\ \\ Or, \: \frac{ {b}^{2} }{4a} = c$

$\therefore$The c = b²/4a when the roots of the quadratic equation is equal.