Question
What are the values of k, if the roots of the equation
x² + 2(k - 4)x + 2k = 0 are equal?Solution
Given, the roots of the equation x² + 2(k - 4)x + 2k = 0 are equal. When roots are equal then b² = 4ac ⇒ [2(k - 4)]² = 4 * 1 * 2k ⇒ 4(k - 4)² = 8k ⇒ k² - 8k + 16 = 2k ⇒ k² - 10k + 16 = 0 ⇒ (k - 2) (k - 8) = 0 ⇒ k = 2, 8
(√2704 x 55)/(245 + 120) =?
Simplify the following expression and find the final value:
(18 ÷ 6 of 2 + 7 of 5) ÷ 5
What will come in place of the question mark (?) in the following expression?
(320 ÷ 8 + 22) × 4 = 60 + 40% of ?
70 % of 640 + 75 % of 360 - 19 × 12 = ?
- What will come in place of (?), in the given expression.
√2025 + 35% of 400 = ? Find the simplified value of the given expression:
15 of 4 ÷ 3 × 4² + √49 – 12What will come in the place of question mark (?) in the given expression?
7 X 18 + ? = (52 - 6) X 9
136% of 560 - 2/7 of 630 + 45% of 420 =?
29% of 400 + 66% of 1100 - 50% of 1200 = ?Â
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