Question
If, 4x2 + y2 + 12x + 6y + 18 =
0, then find the value of (2x + y)/(y + 6x).Solution
4x2 + y2 + 12x + 6y + 18 = 0
Or, 4x2 + 12x + 9 + y2 + 6y + 9 = 0
Or, (2x) 2 + 2 X (2x) X (3) + 32 + y2 + 2 X y X 3 + 32 = 0
Or, (2x + 3) 2 + (y + 3) 2 = 0 [because, (a + b) 2 = a2 + b2 + 2ab]
The above equation is possible, when,
2x + 3 = 0 and y + 3 = 0
Or, x = - (3/2) = - 1.5 or, y = - 3
So, (2x + y)/(y + 6x) = -6/-12 = 0.5
More Algebra Questions
√3598 × √(230 ) ÷ √102= ?
Simplify the following expressions and choose the correct option.
45% of 640 + (2/5 of 350) = ?
√225 + 27 × 10 + ? = 320
32 X 25 ÷ 4 + 12 of 30 = ? X 5 - 30
1440 ÷ 12 + 540 ÷ √36 + ? = 180 * 3
4567.89 - 567.89 - 678.89 = ?
- What will come in place of the question mark (?) in the following questions?
18×4+96÷8=? ((12+12+12+12)÷4)/((8+8+8+8+8+8)÷16) = ?
9999² + 1111² =?
- What will come in the place of question mark (?) in the given expression?
(120 - ?) ÷ 2 + 35 = 86 - 11
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