How to find the real number solution of the equation x3+27x=9x2+27?
1 answer:
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Answer:
6x² + 5x - 2 = 0
Step-by-step explanation:
Given
2x² - 5x - 6 = 0 ← in standard form
with a = 2, b = - 5, c = - 6, then
sum of roots α + β = - =
product of roots = = - 3, then
sum of new roots = +
=
= = -
product of new roots = ×
= = -
Hence the required equation is
x² + x -
= 0 or
6x² + 5x - 2 = 0 ( multiplying through by 6 )