Question

Write down the quadratic equation whose sum and product of the roots are 9 , 14.​

Answer 1

Step-by-step explanation:

x²-sum of roots ×x + product of roots =0

x²-9x+14 =0

x²- 7x-2x+14=0

x(x-7)-2(x-7) =0

(x-2)(x-7)=0

roots are 2,7

sum =2+7=9

product = 2×7 =14

Answer 2

Answer:

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Step-by-step explanation:

here , sum of roots = 9

& product of roots = 14

Quadratic equation is given by :

x²-(sum of roots)x + (product of roots)

=> x²-9x+14

VERIFICATION:

x²-9x +14

= x²-7x-2x+14

= x(x-7)-2(x-7)

= (x-7)(x-2)

= x = 7 , 2

now , sum of zeroes = -b/a

=> 7+2 = -(-9)/1

=> 9 = 9

& product of zeroes = c/a

=> 7×2 = 14/1

=> 14 = 14

Hence verified.

I hope this will help you.

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