Question

if 729 is divided by a natural number,quotient is 4 more than twice the divisor and reminder is 9 .from the given information write the quadratic equation. also determine nature of its roots
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Answer 1

Answer:

x² + 2x - 360=0

real and distinct roots

Step-by-step explanation:

dividend = divisor*quotient +remainder

let divisor be x,

then quotient = 2x+4

=>729 = (2x+4)x +9

=>729= 2x² +4x +9

=> 2x²+4x-720 = 0

=> x² + 2x - 360=0

=> x² -18x+20x-360=0

=> x(x-18)+20(x-18) =0

=> (x-18) (x+20)=0

roota are 18,-20

real and distinct roots

hope it helps. :)

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