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
Answer:
one plus one over 2 y equals x
is
1 + 1/2y = x
Step-by-step explanation:
Answer:
The value has increased by <u>8 percent</u>.
Step-by-step explanation:
Given:
The value of a house has increased by $4,200 in the past year.
The value last year was $52,500.
Now, to find the percent increased.
<em>Value of house = $52,500.</em>
<em>Value of house last year increased by = $4200.</em>
So, to get the percent increased:
Therefore, the value has increased by 8 percent.
Answer:
0.00783874
Step-by-step explanation:
7/893= 0.00783874
I just put it in the calculator
The equation to find a spheres surface area is 4 pi R ^2
and this works in any order
4 * 12 is 48 (4 * R)
48^2 is 2304 ((4 * R)^2)
the exact answer is 2304
the full answer is 7234.56 (((4 * R)^2)
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