1.

If thesumZerosofthequadratic polynomial kx² + 2x +3kisequal toto their product findthe valueof k​

Answer»

GIVEN :–

• A quadratic EQUATION kx² + 2X +3k = 0 have two roots α and β .

• Sum of roots (α + β) = Product of roots (αβ) .

TO FIND :–

• Value of 'k' = ?

SOLUTION :–

▪︎ We know that –

=> Sum of roots = α + β = -( coffieciant of x)/(coffieciant of x²)

=> α + β = - (2/k) ——————eq.(1)

▪︎ And –

=> Product of roots = αβ = (constant term)/(coffieciant of x²)

=> αβ = (3k)/(k)

=> αβ = 3 ——————eq.(2)

▪︎ Now According to the eq.(1) & eq.(2) –

=> -(2/k) = 3

=> -2 = 3k

=> k = - (2/3)

● Hence , The value of k is -(⅔) .


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