Question

Aravind has giddy bank .it is full of one rupee and fifty paise coins it contains 3 times as many fiffifty paise coins as one rupee coins .the total amount of the money in the bank is rp35 how many coins of each kind are there in the bank

Answer 1

Step-by-step explanation:

Given : one root of the equation 2x² + Px - 5 = 0 is - 5 and the quadratic equation p(x² + x) + k = 0 has equal roots.

To find : The value of k

solution : one root of the equation 2x² + px - 5 = 0 is -5

so, 2(-5)² + p(-5) - 5 = 0

⇒2 × 25 - 5p - 5 = 0

⇒45 - 5p = 0

⇒p = 9

now the quadratic equation p(x² + x) + k = 0

⇒9(x² + x) + k = 0

⇒9x² + 9x + k = 0

Discriminant = (9)² - 4(9)(k) = 0 [ for equal roots ]

⇒81 - 36k = 0

⇒k = 81/36 = 9/4

Therefore the value of k is 9/4