SOLUTION: Determine the quadratic equation if the difference of the squares of the roots is 95 and their difference is 5.
Algebra.Com
Question 921337: Determine the quadratic equation if the difference of the squares of the roots is 95 and their difference is 5.
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
let the roots be:
and
the difference of the squares of the roots is
.............eq.1
their difference is
............eq.2
solve the system:
.............eq.1
............eq.2
__________________________________
start with ............eq.2 ...solve for
.............substitute in eq.1
.............eq.1....solve for
go to plug in
roots are: and
use zero product rule
...........plug in and
graph:
RELATED QUESTIONS
Find two numbers whose difference is 5 and the difference of their squares is... (answered by gc2000)
Write a quadratic equation and solve
The difference of two numbers is 6 and the... (answered by mananth,Theo)
Determine the quadratic equation whose roots have a sum of 12 and the roots difference is (answered by richwmiller,Alan3354,MathTherapy)
the sum of two numbers is 16 and their difference is 5. find the difference of their... (answered by mananth)
Find two numbers whose difference is 4 and the difference of their squares is... (answered by lwsshak3)
Find two numbers whose difference is 8 and the difference of their squares is... (answered by vleith)
A quadratic equation, in general form, has positive integercoefficients and two real... (answered by stanbon,josgarithmetic)
The difference of two numbers is 2. If the difference of their squares is 18, what is (answered by checkley79)
The sum of two number is 60 and their difference is 43. What is The difference of their... (answered by fcabanski)