SOLUTION: Make a quadratic equation whose roots have a sum of 4 and a product of 3 and another equation for the sum of 16 and a product of -80.

Algebra.Com
Question 370368: Make a quadratic equation whose roots have a sum of 4 and a product of 3 and another equation for the sum of 16 and a product of -80.
Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
x+y=4
xy=3
y=4-x
x(4-x)=3
4x-x^2=3
x^2-4x+3=0
.
Ed

RELATED QUESTIONS

Write a quadratic equation whose roots have a sum of 16 and a product of... (answered by TimothyLamb)
Determine the quadratic equation whose roots have a sum of 12 and the roots difference is (answered by richwmiller,Alan3354,MathTherapy)
construct a quadratic equation, if the sum and the product of the roots are 3 and -2... (answered by ikleyn)
FInd the quadratic equation each of whose roots is the sum of a root and its reciprocal... (answered by ikleyn)
FInd the quadratic equation each of whose roots is the sum of a root and its reciprocal... (answered by ikleyn)
3. Use the two roots given by the quadratic equation a. find a formula for the sum of... (answered by jim_thompson5910)
If the sum and product of a quadratic equation is -4 and 4 respectively, then the... (answered by ikleyn)
Write two equations whose roots have a sum of -2/3 and a product of... (answered by checkley71)
Write a quadratic equation such that the sum of its roots is 6 and the product of its... (answered by ankor@dixie-net.com)