SOLUTION: Two students solved a problem involving a quadratic equation. The first student made an error only in the constant term of the equation and determined the roots were 2 and 8. The s

Question 113604: Two students solved a problem involving a quadratic equation. The first student made an error only in the constant term of the equation and determined the roots were 2 and 8. The second student made an error only in the coefficient of the linear term and determined the roots were -1 and -9. What was the quadratic equation ?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Two students solved a problem involving a quadratic equation. The first student made an error only in the constant term of the equation and determined the roots were 2 and 8. The second student made an error only in the coefficient of the linear term and determined the roots were -1 and -9. What was the quadratic equation ?
:
Find the quadratic equation for each student's roots:
:
1st Student: (x-2)*(x-8) = x^2 - 10x + 16; Third term 16 is wrong
:
2nd Student: (x+1)*(x+9) = x^2 + 10x + 9; 2nd term +10 is wrong
:
I am going to say the correct equation is: x^2 - 10x + 9
:
Factors to (x-9)(x-1); Roots: x = 9, x = 1
RELATED QUESTIONS
Two engineering students are solving a problem leading to a quadratic equation. One... (answered by Theo)

Two students both solved the equation -4x-0.5=6 incorrectly. The work of each student is (answered by MathLover1)

Please Help In an algebra class, 21 students are competing to see who can create the... (answered by fractalier,Nate)

in a quadratic equation, a student made a mistake in copying the coefficient of x^(2) and (answered by ikleyn)

In an exam, two reasoning problems, 1 and 2, are asked. 35% students solved problem 1... (answered by ikleyn)

In the quadratic equation below identify each term -3x squared +2x-5 =0 Constant... (answered by MathLover1)

Explain the difference between rationalizing the denominator in an algebraic expression... (answered by lwsshak3)

A student solved the quadratic equation by finding the square root of both sides. In... (answered by Alan3354)

Suppose there is a group of 100 students. 70 of them are in an English class, and 40 of (answered by math_tutor2020)