SOLUTION: Write the quadratic equation whose roots are 1 and 6,and whose leading coefficient is 3?

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Write the quadratic equation whose roots are 1 and 6,and whose leading coefficient is 3?       Log On


   



Question 935419: Write the quadratic equation whose roots are 1 and 6,and whose leading coefficient is 3?

Found 2 solutions by josgarithmetic, TimothyLamb:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-u%29%28x-v%29=0 for roots u and v.

3%28x-u%29%28x-v%29=0 has leading coefficient of 3;

3%28x-6%29%28x-1%29=0 uses the given roots. You can simplify into general form if desired.

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
(x - 1)(x - 6) = 0
xx - 6x - x + 6 = 0
xx - 7x + 6 = 0
3(xx - 7x + 6 = 0)
3xx - 21x + 18 = 0
---
Free algebra tutoring live chat:
https://sooeet.com/chat.php?gn=algebra
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations with quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
---