Question

i) One root be the reciprocal of other in the qua-
dratic equation 4xsquare

+4(3m - 1)x+m+7=0
them m is
a) 2
(b) 7
(c) -3
(d) 1

solve it fast​

Answer 1

Answer:

(c) -3

Step-by-step explanation:

Here; a = 4, b = 4(3m-1)x, c = m+7

We know that, Product of two roots is

$\frac{c}{a}$

And, one root is reciprocal of the other (Given in question)

Let one root be p.

So,

$p \times \frac{1}{p} = \frac{c}{a}$

So,

$1 = \frac{m + 7}{4}$

So,

$m + 7 = 4$

So,

$m = 4 - 7 = - 3$

So,

$m = \: \: \: - 3$

Hope it helps...