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
So, y-intercept is (0,3) and x-intercept is (3/7,0)
Step-by-step explanation:
We are given:
We need to find y-intercept and x-intercept
Finding y-intercept
To find y-intercept we put x =0
Solving:
So, y-intercept is (0,3)
Finding x-intercept
To find x-intercept we put y =0
Solving:
So, x-intercept is (3/7,0)
So, y-intercept is (0,3) and x-intercept is (3/7,0)
Keywords: x and y intercepts
Learn more about x and y intercepts at:
#learnwithBrainly
Answer:
X is an acute angle, which means it is less than 90*, so it is probably 45*
Step-by-step explanation:
I was confused at first but then, I’m just like, I can solve this!
There is 5 times the amount of cookie dough to peanut butter
x:5x
