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Marley Cooke
Mathematics
15 December, 20:43
Solve by completing the square
3x2 + x - 2 = 0
+2
Answers (
1
)
Cynthia Avila
15 December, 21:03
0
x = 2/3 or x = - 1
Step-by-step explanation by completing the square:
Solve for x:
3 x^2 + x - 2 = 0
Divide both sides by 3:
x^2 + x/3 - 2/3 = 0
Add 2/3 to both sides:
x^2 + x/3 = 2/3
Add 1/36 to both sides:
x^2 + x/3 + 1/36 = 25/36
Write the left hand side as a square:
(x + 1/6) ^2 = 25/36
Take the square root of both sides:
x + 1/6 = 5/6 or x + 1/6 = - 5/6
Subtract 1/6 from both sides:
x = 2/3 or x + 1/6 = - 5/6
Subtract 1/6 from both sides:
Answer: x = 2/3 or x = - 1
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