SOLUTION: Write a quadratic equation with the roots + or - radical5/4. write equation in the form ax^2+bx+c=0 where a, b, and c are integers. thanks.

Question 399248: Write a quadratic equation with the roots + or - radical5/4. write equation in the form ax^2+bx+c=0 where a, b, and c are integers.

thanks.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Use the fact that x-r is a factor of a polynomial if and only if r is a root. Since 5/4 and -5/4 are the roots, then the polynomial is

This polynomial has the same zeros as (the coefficients are integers in this case) so this is the desired polynomial. We could multiply this by some other integer to obtain a similar polynomial, for example, .
RELATED QUESTIONS
My worksheet syas: Write a quadratic equation with -3/4 and 4 as its roots. Write the... (answered by scott8148)

Write a quadratic equation with -3/4 and 4 as its roots. write the equation in form... (answered by Fombitz)

write a quadratic equation with -3/4 and 4 as its roots, write the equation in form... (answered by Jk22)

Write the quadratic equation with -3/4 and 4 as its roots. Write the equation in form... (answered by stanbon)

Write a quadratic equation with -3/4 and 4 as its roots. Wite the equation in form ax^2 + (answered by ankor@dixie-net.com)

11. Write a quadratic equation with roots of 2/3 and -4/5 in the form ax^2+bx+c=0, where... (answered by Mathtut,solver91311)

What would be a quadratic equation with 7 and -3 as its roots? How would I write the... (answered by rothauserc)

If the roots of a quadratic equation are -4 and 1, write the equation in... (answered by solver91311)

Find a quadratic equation in the form ax^2 + bx + c = 0, where a, b and c are integers... (answered by ankor@dixie-net.com)