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In the following ​question two equations are given. You have to solve these equations and determine relation between x and y. I. x2 – 12x + 35 = 0 II. y2 – 16y + 63 = 0

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In the following ​question two equations are given. You have to solve these equations and determine relation between x and y.

I. x2 – 12x + 35 = 0

II. y2 – 16y + 63 = 0


1). x < y
2). x > y
3). x = y OR the relationship cannot be determined.
4). x ≤ y


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1 answers

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Answered by on | Votes 0 |

I. x2 – 12x + 35 = 0

⇒ x2 – 5x – 7x + 35 = 0

⇒ x(x – 5) – 7(x – 5) = 0

⇒ (x – 7) (x – 5) = 0

⇒ x = 7 OR x = 5

II. y2 – 16y + 63 = 0

⇒ y2 – 7y – 9y + 63 = 0

⇒ y (y – 7) – 9(y – 7) = 0

⇒ (y – 9) (y – 7) = 0

⇒ y = 9 OR y = 7

So, when x = + 7, x = y when y = 7 and x < y when y = 9.

And when x = 5, x < y when y = 7 and x < y when y = 9.

∴ x ≤ y. 

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