Question

Find the sum of the zeroes of the polynomial 2x2

-49 = 0​

Answer 1

SOLUTION

TO DETERMINE

The sum of the zeroes for the equation

$\sf{2 {x}^{2} - 49 = 0 }$

CONCEPT TO BE IMPLEMENTED

General form of a quadratic equation is

$\sf{a {x}^{2} + bx + c = 0 }$

Then

$\displaystyle \sf{Sum \: of \: the \: zeroes \: = - \frac{b}{a} }$

EVALUATION

Here the given Quadratic equation is

$\sf{ 2 {x}^{2} - 49 = 0}$

Comparing with the general quadratic equation

$\displaystyle \sf{a {x}^{2} + bx + c = 0 }$

We get

a = 2 , b = 0 , c = - 49

Hence

$\displaystyle \sf{Sum \: of \: the \: zeroes \: }$

$\displaystyle \sf{= - \frac{b}{a} }$

$\displaystyle \sf{ = - \frac{0}{2} }$

$= 0$

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