SOLUTION: What are the roots of |9x^2 - 4| = x + 6?

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Question 1072657: What are the roots of |9x^2 - 4| = x + 6?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
abs%28%283x-2%29%283x%2B2%29%29-x-6=0


COND1
9x%5E2-4-x-6=0
9x%5E2-x-10=0
x=%281%2B-+sqrt%281%2B4%2A9%2A10%29%29%2F18
x=%281%2B-+sqrt%28361%29%29%2F18
x=%281%2B-+19%29%2F18
highlight%28system%28x=-1%2Cor%2Cx=10%2F9%29%29

COND2
-9x%5E2%2B4-x-6=0
9x%5E2%2Bx%2B2=0
discrm, 1-4%2A9%2A2=-71%3C0----no real solution if 9x%5E2-4%3C0.