Question

if a, b are the zeroes of a polynomial ax2-2x+3a and a+b = ab find the value of a

Answer 1

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1

PromitDas7292

09.11.2017

Math

Secondary School

+13 pts

Answered

Find sum of zeros of polynomial ax2+2x+3a if sum of zero is equal to their product

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11



Ankit1408

Ace

689 answers

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hello users .......

we have given that:-

for a quadratic equation :: ax² + 2x + 3a = 0 

the sum  and the product of roots are equal ;

solution:-

here;

we know that : 

For a quadratic equation : ax² + bx + c = 0

sum of roots = - b / a ;

and

product of roots = c / a 

here,

sum of roots = - b / a =  - 2 / a 

and 

product of roots = c / a =  3a / a = 3

According to question ;

sum of roots = product of roots 

=> -2 / a = 3

=> a = -2 / 3 

now; put the value of a in the givn equation .

we get ,

(-2 / 3) x² + 2x + ( -2 / 3) = 0 

=>- 1/3  (2 x² - 6x +2 ) = 0 ...taking (-1/3) common ;

hence;

the required quadratic equation is : 2x² - 6x + 2 = 0 answer 

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