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x² – 22x + 112 = 0
y² – 20y + 84 = 0
- a)X > Y
- b)X < Y
- c)X ≥ Y
- d)X ≤ Y
- e)X = Y or relation cannot be established
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
x² – 22x + 112 = 0y² – 20y + 84 = 0a)X > Yb)X...
x² – 22x + 112 = 0
x = 14, 8
y² – 20y + 84 = 0
y = 14, 6
x = 14, 8
y² – 20y + 84 = 0
y = 14, 6
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Community Answer
x² – 22x + 112 = 0y² – 20y + 84 = 0a)X > Yb)X...
Explanation:
Quadratic Equations:
- The given equations are quadratic equations in the form ax^2 + bx + c = 0 and ay^2 + by + c = 0.
- To determine the relation between x and y, we need to solve these equations.
Solving the Equations:
- For the first equation x^2 - 22x + 112 = 0, we can factorize it as (x - 14)(x - 8) = 0.
- So, the roots of this equation are x = 14 and x = 8.
- For the second equation y^2 - 20y + 84 = 0, we can factorize it as (y - 14)(y - 6) = 0.
- So, the roots of this equation are y = 14 and y = 6.
Relation between x and y:
- From the roots of the equations, we can see that x = 14 and y = 14, and x = 8 and y = 6.
- There is no consistent relationship between x and y based on the roots of the equations.
- Therefore, the relation between x and y is inconclusive or cannot be established.
Therefore, the correct answer is option 'E) X = Y or relation cannot be established'.
Quadratic Equations:
- The given equations are quadratic equations in the form ax^2 + bx + c = 0 and ay^2 + by + c = 0.
- To determine the relation between x and y, we need to solve these equations.
Solving the Equations:
- For the first equation x^2 - 22x + 112 = 0, we can factorize it as (x - 14)(x - 8) = 0.
- So, the roots of this equation are x = 14 and x = 8.
- For the second equation y^2 - 20y + 84 = 0, we can factorize it as (y - 14)(y - 6) = 0.
- So, the roots of this equation are y = 14 and y = 6.
Relation between x and y:
- From the roots of the equations, we can see that x = 14 and y = 14, and x = 8 and y = 6.
- There is no consistent relationship between x and y based on the roots of the equations.
- Therefore, the relation between x and y is inconclusive or cannot be established.
Therefore, the correct answer is option 'E) X = Y or relation cannot be established'.
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