Question

5. If the sum of the roots of the equation
qx2 + 2x + 3q = 0 is equal to their product,
then the value of q is :​

Answer 1

Answer:

1 is the answer

Step-by-step explanation:

qx2+2x+3q=0

1×2+2x+3q=0

2+2x+3q=0

Answer 2

Answer:

The value of q  = $\frac{-2}{3}$

Step-by-step explanation:

Given,

The sum of roots of the equation is equal to the product of roots of the equation qx² + 2x + 3q = 0

To find,

The value of 'q'

Solution:

Recall the concepts:

The sum of roots of the quadratic equation ax² + bx + c = 0 is  $\frac{-b}{a}$  and product of roots = $\frac{c}{a}$

Comparing the given equation qx² + 2x + 3q with ax² + bx + c = 0 we get

a = q, b = 2 and c = 3q

Sum of roots = $\frac{-b}{a} = \frac{-2}{q}$

Product of roots = $\frac{c}{a} = \frac{3q}{q}$ = 3

Since, the sum of roots =  product of roots we have,

$\frac{-2}{q}$ = 3

q = $\frac{-2}{3}$

The value of q  = $\frac{-2}{3}$

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