solve the equation x³ − 7x² + 36 = 0 , given that one root is double the other

2 answers

if the roots are a,2a,b then

a+2a+b = 7
2a^2b = -36
a*2a + ab + 2ab = 0
or, a(2a+3b) = 0
so, b = -2a/3

Solve those and you find 3,6,-2
3,6,-2
Similar Questions
  1. Please help me with some problems. Thank you!Solve the equation by square root property. 3. 2x^2 = 26 I don't understand how to
    1. answers icon 1 answer
  2. 1) Solve equation3r+5 _____ + 2 = 2r to find the value of r? 2 A. 2 1/7 B. 3 2/3 C. 15 D. 10 2) which is these is a rational
    1. answers icon 2 answers
  3. QuestionComplete the square to solve the following quadratic equation: x^2−22x+1=15 .(1 point) Responses x=11+315−−√,
    1. answers icon 1 answer
    1. answers icon 1 answer
more similar questions