If a + b = 4 and ab = -12, find (i) a - b (ii) a 2 - b 2 .

(i) We know that, (a - b) 2 = a 2 + b 2 - 2ab (a - b) 2 = a 2 + b 2 + 2ab -2ab - 2ab (a - b) 2 = (a + b) 2 - 4ab (a - b) = Substituting values we get, Hence, a - b = ±8. (ii) We know that, a 2 - b 2 = (a + b)(a - b). Substituting values we get, ⇒ a 2 - b 2 = 4 × ±8 = ±32. Hence, a 2 - b 2 = ±32.

If x + y = 8 and x - y = 2, find the value of 2x² + 2y².

View Answer Bookmark Now

If a² + b² = 13 and ab = 6, find
(i) a + b
(ii) a - b

View Answer Bookmark Now

If p - q = 9 and pq = 36, evaluate
(i) p + q
(ii) p² - q².

View Answer Bookmark Now

If x + y = 6 and x - y = 4, find
(i) x² + y²
(ii) xy.

View Answer Bookmark Now

Mathematics

If a + b = 4 and ab = -12, find
(i) a - b
(ii) a² - b².

Expansions

Related Questions

If x + y = 8 and x - y = 2, find the value of 2x² + 2y².

If a² + b² = 13 and ab = 6, find
(i) a + b
(ii) a - b

If p - q = 9 and pq = 36, evaluate
(i) p + q
(ii) p² - q².

If x + y = 6 and x - y = 4, find
(i) x² + y²
(ii) xy.

Mathematics

If a + b = 4 and ab = -12, find(i) a - b(ii) a2 - b2.

Expansions

Related Questions

If x + y = 8 and x - y = 2, find the value of 2x2 + 2y2.

If a2 + b2 = 13 and ab = 6, find(i) a + b(ii) a - b

If p - q = 9 and pq = 36, evaluate(i) p + q(ii) p2 - q2.

If x + y = 6 and x - y = 4, find(i) x2 + y2(ii) xy.

If a + b = 4 and ab = -12, find
(i) a - b
(ii) a² - b².

If x + y = 8 and x - y = 2, find the value of 2x² + 2y².

If a² + b² = 13 and ab = 6, find
(i) a + b
(ii) a - b

If p - q = 9 and pq = 36, evaluate
(i) p + q
(ii) p² - q².

If x + y = 6 and x - y = 4, find
(i) x² + y²
(ii) xy.