if alpha and beta are the roots of the quadratic equation 3 X square + kx + 8 is equal to zero and Alpha upon beta is equal to 2 upon 3 then find the value of k
Answers
k = ± 10 if α & β are roots of 3x² + kx + 8 = 0 and α/β = 2/3
Step-by-step explanation:
α & β are roots of 3x² + kx + 8 = 0
and α/β = 2/3
=> α = 2β/3
Sum of roots α + β = - k/3
Product of roots αβ = 8/3
=> (2β/3) β = 8/3
=> β² = 4
=> β = ± 2
α = 2β/3 => α = ± 4/3
α + β = ± 4/3 ± 2 = ± 10/3 = -k/3
=> k = ± 10
3x² + 10x + 8 = 0
=> 3x² + 6x + 4x + 8 = 0
=> (3x + 4)(x + 2) = 0
-4/3 & - 2
3x² - 10x + 8 = 0
=> 3x² - 6x - 4x + 8 = 0
=> (3x - 4)(x -2) = 0
4/3 & 2
Learn more:
The root of the equation x2-px+8=0 are alpha and beta. If the root ...
https://brainly.in/question/7555020
if alpha +beta are the roots of equation 4x²-5x+2=0 find the equation ...
https://brainly.in/question/8333453
if alpha beta are the roots of the equation x2 -px +q=0 then alpha sq ...
https://brainly.in/question/13205661
Step-by-step explanation:
plz mark as brainliest
