1.

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

Answer»

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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