Question

If the sum and product of the roots of the equation

Answer 1

Answer:

k=-3/2

Step-by-step explanation:

we know that

sum of root=-b/a

and product of root=c/a

here, product of root =4k/k=4

a/q, -6/k=4

4k=-6

k=-3/2⚡⚡

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Answer 2

Given:

• Sum and product of the roots of the equation

kx²+ 6x+4k = 0 are equal .

To find :

• The value of K .

Solution:

As we know that ,

$\star \bold{ sum \: of \: roots \: = \frac{ - b}{a} } \\ \\ \star \: \bold{ product \: of \: roots \: = \frac{c}{a} }$

Here , a = k , b= 6 and c= 4k .

According to question :

$\implies \bold{ sum \: of \: roots \: = product \: of \: roots \: } \\ \\ \implies \: \frac{ - b}{a} = \frac{c}{a} \\ \\ \implies \: \frac{ - 6}{k} = \frac{4k}{k} \\ \\ \implies \: k = \frac{ - 6}{4} \\ \\ \implies \: k = \frac{ - 3}{2}$

Hence, the value of K is -3/2.