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P-1 Quadratic Equations — Maths STD 10 — Question

Maharashtra BoardEnglish MediumSTD 10MathsP-1 Quadratic Equations3 Marks
Question
Solve the following quadratic equation by completing the square method.
9y2 – 12y + 2 = 0
✓

Answer


$9 y^2-12 y+2=0$
(3y)2 - 2 × 3y × 4 + (4)2 - (4)2 + 2 = 0
(3y)2 - 2 × 3y × 4 + (4)2 - 16 + 2 = 0
(3y - 4)2 - 14 = 0
(3y - 4)2 = 14
3y - 14 = ±√14
3y = 14 ± √14
y = (14 ± √14)/3

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