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julia-pushkina [17]
3 years ago
6

A quadratic equation has exactly one real number solution. Which is the value of its discriminant?

Mathematics
1 answer:
PtichkaEL [24]3 years ago
4 0

Answer: The determinant must be zero.

Step-by-step explanation:

For a quadratic equation

a*x^2 + b*x + c = 0

The discriminant is:

D = b^2 - 4*a*c

and the solutions can be finded as:

x = \frac{-b+- \sqrt{D} }{2*a}

If D > 0 we have two real solutions

if D = 0 we only have one solution, x = -b/2a

If D < 0 we will have comples solutions, as we will have a negative number inside a square root.

Knowing that for this equation we have only one solution, then we can know that the determinant must be equal to zero.

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There are infinitely How many pairs of numbers of which the sum of their cube roots is zero give two of these pairs
ivanzaharov [21]

Answer:

Infinite pairs of numbers

1 and -1

8 and -8

Step-by-step explanation:

Let x³ and y³ be any two real numbers. If the sum of their cube roots is zero, then the following must be true:

\sqrt[3]{x^3}+ \sqrt[3]{y^3}=0\\ \sqrt[3]{x^3}=- \sqrt[3]{y^3}\\x=-y

Therefore, any pair of numbers with same absolute value but different signs fit the description, which means that there are infinite pairs of possible numbers.

Examples: 1 and -1; 8 and -8; 27 and -27.

8 0
3 years ago
Julia has 14 pounds of nuts .there are 16 ounces in one pound. how mant ounces of nuts does she have
SSSSS [86.1K]
There are 14 pounds of nuts, and each are 16 ounces.

14*16 = ?

14*16 = 224

Final answer: She has a total of 224 ounces of nuts.
8 0
3 years ago
Read 2 more answers
Mario can eat 21 hot dogs in 6 minutes. At the same place, how many minutes would it take him to eat 35 hot dogs? ​
anyanavicka [17]

Answer:

10 minutes

Step-by-step explanation:

Mario can eat e21 hot dog in 6 minutes

Let 35 hot dog  eats in x minutes :

\frac{35}{x} =\frac{21}{6} \\x=\frac{35(6)}{21} \\x=10 min

Therefore, mario would eat 35 dogs in 10 min.

6 0
3 years ago
If kelley has 273626256 steps and denna has 227963762 how much steps do they get in all
kkurt [141]

Answer:

501590018 steps

Step-by-step explanation:

To find this high numbered problem all you have to do is add the steps in total. You would add 273626256 and 227963762 to get 501590018

5 0
3 years ago
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Factor the trinomial below.<br> x2 + 14x + 48
elixir [45]
IF IT EQUALS 0
1. find two number that multiplied to 48 and adds to 14, which are 6 and 8.

2. substitute the new numbers in with x to get x^2 + 6x + 8x + 48.

3. factor out the x and the 8 to get x(x+6)+8(x+6).

4. x = -6, x = -8

IF IT DOES NOT EQUAL 0
then (x+6)*(x+8) is your answer.
4 0
4 years ago
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