Question

The sum of the roots of the quadratic equation 3 x

2 – 9x + 5 = 0 is

(a) 3 (b) 6 (c) -3 (d) 2​

Answer 1

Solution -

We know that for a quadratic equation of the form ,

ax² + bx + c

Sum of roots = ( - b / a )

Where ,

a is the leading coefficient

b is the trailing coefficient .

So, this can be also written as :

Sum of roots of a quadratic equation -

=> - [ Leading Coefficient / Trailing Coefficient ]

Here , the following equation is given -

f ( x ) = 3x² - 9x + 5 .

The leading coefficient is 3 .

The trailing coefficient is -9 .

Sum of roots -

=> - [ Leading Coefficient / Trailing Coefficient ]

=> - [ - 9 / 3 ]

=> 3

Hence , Option A is the correct Option

This is the required answer .

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