8/x = 5/9 solve for x
1 answer:
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Given:
$184500 are to be divided between 2 people.
One person has 80% of what the other person has.
To find:
The amount each one receive in $.
Solution:
Let $x be the amount received by first person. Then,
Amount received by the second person = 80% of x
= 0.80x
Total amount = Amount received by first person + by second person
=
=
Total amount is 184500. So,
So, the amount received by the first person is $102,500.
So, the amount received by the second person is $82,000.
Answer:
k = - , k = 2
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
The condition for equal roots is b² - 4ac = 0
Given
kx² + 2x + k = - kx ( add kx to both sides )
kx² + 2x + kx + k = 0 , that is
kx² + (2 + k)x + k = 0 ← in standard form
with a = k, b = 2 + k and c = k , thus
(2 + k)² - 4k² = 0 ← expand and simplify left side
4 + 4k + k² - 4k² = 0
- 3k² + 4k + 4 = 0 ( multiply through by - 1 )
3k² - 4k - 4 = 0 ← in standard form
(3k + 2)(k - 2) = 0 ← in factored form
Equate each factor to zero and solve for k
3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = -
k - 2 = 0 ⇒ k = 2