Question

Find the sum of the roots of ax2 = b.​

Answer 1

SOLUTION

TO DETERMINE

The sum of the roots of ax² = b

CONCEPT TO BE IMPLEMENTED

We know that a general quadratic equation is of the form

Ax² + Bx + C = 0

Then

$\displaystyle\sf{ Sum \: of \: the \: roots \: = - \frac{B}{A} }$

$\displaystyle\sf{ Product \: of \: the \: roots \: = \frac{C}{A} }$

EVALUATION

Here the given equation is ax² = b

Comparing with the equation Ax² + Bx + C = 0 we get

A = a , B = 0 & C = - b

$\displaystyle\sf{ Sum \: of \: the \: roots \: = - \frac{B}{A} }$

$\displaystyle\sf{ \implies \: Sum \: of \: the \: roots \: = - \frac{0}{a} }$

$\displaystyle\sf{ \implies \: Sum \: of \: the \: roots \: =0}$

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