In a Quadratic equation

One root of the equation is 12times more than the another root. Find the value of k

Note:-

Answer minimum 45+words

Question :-

In a Quadratic equation 4x² - 13x + k = 0 , one root of this equation is 12 times more than the another root. Find the value of k.

Given :-

One root of quadratic equation is 12 times more than the another root.

Solution :-

Let , the one root of the quadratic equation is m and the another is n then according to the Question ,

Given quadratic equation is 4x² - 13x + k = 0

Now comparing the given equation by ax² + bc + c = 0,

Now , we know that :-

So,

Hence the first root of the equation of 1/4 so , the second root is -

So the second root of the quadratic equation is 3.

Now, we know that :-

So,

Hence, the value of k is 3.

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