Question
If 9x2 + 16y2 = 24xy, then find
the ratio of ‘x’ and ‘y’, respectively.Solution
9x2 + 16y2 = 24xy Or, 9x2 + 16y2 – 24xy = 0 Or, (3x)2 + (4y)2 – 2 × 3x × 4y = 0 [(a – b)2 = a2 + b2 – 2ab] Or, (3x – 4y)2 = 0 Or, 3x – 4y = 0 Or, 3x = 4y So, x/y = 4/3 Or, x:y = 4:3
More Algebra Questions
What value should come in the place of (?) in the following questions?
70% of 240 + 75% of ? = 45 * 55 ÷ 5
(33 + 6.25% of 4096) = ? + 2 × 119
What will come in the place of question mark (?) in the given expression?
65% of 900 - 45% of 600 = ? X 3
212.3 × 4414.7 × 4623.4 × 4845.85 = 462?
18/2 of 3/9 of 2/6 of 69690 = ?
Simplify the following questions and choose the correct option.
(84 × 3) ÷ 7 + (64 ÷ 8 × 5) − 19 = ?
7/11 × 1034 + 1(4/7) × 2401 = 1230 +?
(1520 - 1350) ÷ (550 – 500) = ?
What is the value of 7/9-11/12+12/16-1/8?
85% of 620 + ? % of 1082 = 4855
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