Find the roots of h(t) = (139kt)^2 − 69t + 80 the smaller root is:
the larger root is:

The answers will consist of algebraic expressions containing the parameter k.

What positive value of k will result in exactly one real root?
K = ?

The positive value of will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let , roots are those values of so that . That is:

(1)

Roots are determined analytically by the Quadratic Formula:

The smaller root is , and the larger root is .

has one real root when . Then, we solve the discriminant for :

The positive value of will result in exactly one real root is approximately 0.028.

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

4th option is correct xy=-10

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