If x2 + y2 = 37 and xy = 6; find : (i) x + y (ii) x - y (iii) x2 - y2

(i) Given, x2 + y2 = 37 and xy = 6 We need to find the value of (x + y): Substituting the value of x2 + y2 and xy, Hence, x + y = 7. (ii) We need to find the value of (x - y): Substituting the value of x2 + y2 and xy, Hence, x - y = 5. (iii) = (x - y)(x + y) Using (i) and (ii), When (x - y) = 7 and (x + y) = 5, ⇒ = 7 x 5 = 35 When (x - y) = -7 and (x + y) = 5, ⇒ = -7 x 5 = -35 When (x - y) = 7 and (x + y) = -5 ⇒ = 7 x (-5) = -35 When (x - y) = -7 and (x + y) = -5 ⇒ = (-7) x (-5) = 35 Hence, 35.

If the amounts of two consecutive years on a sum of money are in the ratio 20 : 21, find the rate of interest.

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The cost of a car, purchased 2 years ago, depreciates at the rate of 20% every year.If its present value is ₹ 2,52,480, find:
(i) its purchase price.
(ii) its value after 1 year.

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Expand : (2x - y + 2)³

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Mathematics

If x² + y² = 37 and xy = 6; find :
(i) x + y
(ii) x - y
(iii) x² - y²

Expansions

Related Questions

If the amounts of two consecutive years on a sum of money are in the ratio 20 : 21, find the rate of interest.

The cost of a car, purchased 2 years ago, depreciates at the rate of 20% every year.If its present value is ₹ 2,52,480, find:
(i) its purchase price.
(ii) its value after 1 year.

Expand : (2x - y + 2)³

Mathematics

If x2 + y2 = 37 and xy = 6; find :(i) x + y(ii) x - y(iii) x2 - y2

Expansions

Related Questions

If the amounts of two consecutive years on a sum of money are in the ratio 20 : 21, find the rate of interest.

The cost of a car, purchased 2 years ago, depreciates at the rate of 20% every year.If its present value is ₹ 2,52,480, find:(i) its purchase price.(ii) its value after 1 year.

Expand : (2x - y + 2)3

If x² + y² = 37 and xy = 6; find :
(i) x + y
(ii) x - y
(iii) x² - y²

The cost of a car, purchased 2 years ago, depreciates at the rate of 20% every year.If its present value is ₹ 2,52,480, find:
(i) its purchase price.
(ii) its value after 1 year.

Expand : (2x - y + 2)³