Pre calc roots for quadratic equations

Question

Roots: 1+-9√17

Write a quadratic equation in the form x2+bx+c=0x2+bx+c=0 that has the following roots:

Answer 1

(x-1-9√17)(x-1+9√17) = 0

Multiplying

x²-x+(9√17)x -x+1-(9√17)-(9√17)x+(9√17)-(9√17)²=0 (9√17)² = 1377

Cancelling and gathering terms:

x²-2x-1376=0