Question

if the roots of ax2+bx-3=0 are reciprocal of each other then​

Answer 1

Answer:

$2ax + bx = 3 \\ x(2a + b) = 3 \\ x = 3 \div (2a + b)$

Answer 2

To Find :- Value of a ?

Solution :-

comparing the given quadratic equation with ax² + bx + c = 0 , we get,

• a = a
• b = b
• c = (-3)

let us assume that, roots of given quadratic equation are p and q .

so,

→ p = 1/q { roots are reciprocal of each other. }

→ p * q = (1/q) * q = 1 ------ Eqn.(1)

now,

→ product of roots = c/a

→ p * q = (-3)/a

from Eqn.(1) ,

→ 1 = (-3)/a

→ a = (-3) (Ans.)

Hence, value of a is equal to (-3) .

Note :- when the roots of quadratic equation ax² + bx + c = 0 are reciprocal of each other :-

• a = c .

Learn more :-

solution of x minus Y is equal to 1 and 2 X + Y is equal to 8 by cross multiplication method

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