Question

What is the value of k, so that 3x²+7x+6-k=0 has one root equal to zero? ​

Answer 1

k = 13  is the value of k in quartic equation.

What does the term "quartic equation" mean?

An equation of the fourth degree, often known as a quartic equation, is one that reduces a quartic polynomial to zero. in which a 0. A quartic function's derivative is a cubic function.

Let α = 7x

     β = 6x

α + β =  7x + 6x  = k/3 ............1

13x = k/3

   αβ  = 7x  ×  6x = 14/3

               42x²  = 14/3

                   x²  = 14/3 × 42

                   x²  = 1/9

                   x = 1/3

now putting value of x in 1

7/3 + 6/3 = k/3

1/3( 7 + 6 )= k/3

    k = 13

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