How many real solutions does the equation 8x^2 − 10x + 15 = 0 have?

Mathematics

2 answers:

Leto [7]2 years ago

6 0

Answer:

It has no real solutions.

Step-by-step explanation

Once you calculate the discriminant, D= (-10)^2 -4 (8)(15), you simplify the expression to get D= -380, which has no real solutions.

Svet_ta [14]2 years ago

4 0

Answer:

No solutions

Step-by-step explanation:

Quadratic equations are in the form of ax^2+bx+c, so a = 8, b= -10, and c = 15.

Use b^2 - 4ac to find the discriminant.

-10^2 - 4(8)(15) = -580

If a discriminant is < 0 then there are no real solutions to a quadratic equation. -580 < 0

Therefore, there are no real solutions

You might be interested in

Given a positive integer n, assign true to is_prime if n has no factors other than 1 and itself. (remember, m is a factor of n i

yawa3891 [41]

This is the following condition in order to get the specific output for this specific problem: if is_a_prime(n): is_prime = True Now all you have to do is write is_a_prime().

For the hard code for this problem:

if n == 2:
is_prime = True
elif n % 2 == 0:
is_prime = False
else:
is_prime = True
for m in range (3, int (n * 0.5) + 1, 2):
if n % m == 0:
is_prime = False
break.

To add, a high-level programming language that is widely used for general-purpose programming, created by Guido van Rossum and first released in 1991 is called Python.

6 0

2 years ago

Read 2 more answers

Please help!!

rusak2 [61]

ANSWER TO QUESTION 1

The set of natural numbers that are factors of 20 are natural numbers that divides 20 exactly without a remainder.

These natural numbers are;

{ $1,2,4,5,10,20$ }

Therefore the correct answer is D

ANSWER TO QUESTION 2

Given that the universal set U has elements

{ $1,2,3,4,5,6,7,8,9,10$ }

and the set P also has elements

{ $2,4,6,8,10$ }

The elements of P' are the elements that are in the universal set but are not in set P.

These elements are;

{ $1,3,5,7,9$ }

The correct answer is C

ANSWER TO QUESTION 3

The distance is given by the absolute value equation

$d=|130-25t|$

If the is 15 feet away then $d=15$

This implies that;

$15=|130-25t|$

We now split the absolute value sign to obtain,

$15=130-25t$

or

$-15=130-25t$

We now solve for t to obtain;

$15-130=-25t$

or

$-15-130=-25t$

$\frac{115}{25}=t$

or

$\frac{145}{25}=t$

This gives us

$4.6=t$

or

$5.8=t$

The correct answer is C

ANSWER TO QUESTION 4

Given

P={ $0,1,2,3,4,56,7,8,9$ }

and

V={ $2,4,6,810,1216,18,20$ }

P $\cap$ V={2,4,6,8}

P\V are elements in P only .

This means that we have to take out the elements of the intersection of the two sets from P.

P\V ={0,1,3,5,5,7,9}

The correct answer is B

ANSWER TO QUESTION 5

The correct answer is B.

In listing the elements of a set, we do not repeat the element. In order words we list only distinct elements.

Blueberry is repeating in both sets but we have to list it once.

ANSWER TO QUESTION 6.

The correct answer is 220

We were told that 250 play basket ball

If 120 play both sports, then

250-120=130

play only basketball

Now the number of people who play only baseball

$350-250=100$

But the number of people who play baseball

$120+100=220$

see diagram