Question

quadratic equation 6x2

– 24x + c = 0 having two equal roots find the value of C​

Answer 1

Answer:

Given that 6x2 + 24x = 0

The quadratic formula is given by x = (- b +_ √ b2 + 4ac) / 2

As we know that coefficient of x2 is a, coefficient of x is b and constant term is c, so, a = 6, b = 24 and c = 0.

Using the quadratic formula, we get,

⇒ - 24 +_ √ (24)2 + 4 ( 6 ) 0 / 2 (6)

⇒ - 24 +_ √576 / 12

We can have two values of 'x' when we find square root.

⇒ x = - 24 + √576 / 12 or x = - 24 - √576 / 12

⇒ x = (- 24 + 24) / 12 or x = (- 24 - 24) / 12

⇒ x = 0 / 12 or x = - 48 / 12

⇒ x = 0 or - 4

Thus, the solutions are 0 and - 4 for equation 6x2 + 24x = 0.

Step-by-step explanation:

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