What is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of real number solutions the equation has? -the discriminant is equal to −16, which means the equation has no real number solutions. -the discriminant is equal to −16, which means the equation has two real number solutions. -the discriminant is equal to 24, which means the equation has no real number solutions. -the discriminant is equal to 24, which means the equation has two real number solutions.

Answer

Find out the value of the discriminant of the quadratic equation.

−1 = 5x² −2x

5x² −2x + 1 = 0

To prove

The Discriminant is given by.

a = 5, b = -2 , c = 1

Put in the discriminant form.

D = -16

As

D = -16 < 0

Thus which means the equation has no real number solutions .

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for