Find the largest root of 2 x 2 </msup> + 3 x + 6 = 7 x <msqrt>

Jamison Rios 2022-07-07 Answered
Find the largest root of
2 x 2 + 3 x + 6 = 7 x x + 2
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Answers (1)

iskakanjulc
Answered 2022-07-08 Author has 18 answers
Let y = x + 2 . Then the equation becomes
2 x 2 7 x y + 3 y 2 = 0
Which you can factor as a quadratic
( 2 x y ) ( x 3 y ) = 0
Or (using x = y 2 2)
( 2 y 2 y 4 ) ( y 2 3 y 2 ) = 0
Find the largest root of each quadratic, then the overall largest root, then get back to x.

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