Answer:
k must be less than 16.
Step-by-step explanation:
For the equation to have 2 distinct real roots the discriminant (b^2 - 4ac) must be greater than 0 zero.
So we have the inequality 8^2 - 4*1*k > 0.
Note if k is equal to 16 it will have duplicate roots ( both equal to 4).
4k < 64
k < 16 (answer).
They are the same length. You need to find the common denominator (8) and multiply both the numerator and denominator on 3/4 to ger 6/8. Than, just draw a numberline comparing the lengths! Hope this helped
Answer:
<em>The correct answer is the first option</em>
Step-by-step explanation:
<u>Quadratic Equation</u>
The standard form of a quadratic equation is
Sometimes we need to change the expression of the same equation to the form
To accomplish that change, we usually modify the left-hand expression to make it look like the square of a binomial.
The given quadratic equation is
Recall the square of a binomial is
The first term is already present. The second term gives us the value of p:
Solving
Now we need to produce the third term . We only have 41, thus we need to add 8 to both sides of the equation:
The correct answer is the first option
According to the laws of logarithm:
if log ₐ c =b
then:
aᵇ=c
hence, to solve the question we let:
log₆1296=a
thus to solve the above we re-write as follows:
6ᵃ=1296
the answer is option D