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3 years ago

Using the discriminant, how many real solutions does the following quadratic

Mathematics

1 answer:

vazorg [7]3 years ago

5 0

Answer:

D one real solution

Step-by-step explanation:

x^2 - 8x + 16 = 0

This is in the form

ax^2 +bx + c = 0

so we can use the discriminant to determine the number of solutions

b^2 -4ac

(-8)^2 -4(1)(16)

64 - 64

Since the discriminant is zero, there is one real solution.

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Stells [14]

The answer is 24d^2-62d+35

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2 years ago

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Andru [333]

Answer:

$f^{-1}(x)=4x+20$

Step-by-step explanation:

Given

$f(x)=\frac{x}{4}-5\\ \\y=\frac{x}{4}-5$

Swap x and y and solve for y

$y=\frac{x}{4}-5\\ \\x=\frac{y}{4}-5\\ \\x+5=\frac{y}{4}\\ \\4(x+5)=y\\\\y=4x+20$

Final answer

$f^{-1}(x)=4x+20$

Keep in mind that we need to swap the variables because a function and its inverse are symmetrical about the line y=x. See the graph below.

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2 years ago

A dance floor has a perimeter of 60 meters. The dance floor is 20 meters long. Write an equation to represent the perimeter of t

Jet001 [13]

Answer:

20 meters long and 10 meters wide

Step-by-step explanation:

since the perimeter is 60 and one side of it is 20 then you multiply 20 by 2, 40, to get both sides. Then you subtract 40 from 60 leaving the other two sides as 20, meaning that if you divide 20 by 2 you can find that the width of the dance floor is 10 meters long.

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2 years ago

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3 years ago

Find the number of roots for each equation. 5. 5x4 + 12x3 – x2 + 3x + 5 = 0

pav-90 [236]

Answer:

The number of roots for equation $5x^4 + 12x^3 – x^2 + 3x + 5 = 0$ is 4 .

Step-by-step explanation:

Here, the given function polynomial is :

$P(x) : 5x^4 + 12x^3 – x^2 + 3x + 5 = 0$

The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots (counting multiplicity).

Now here, the degree if the polynomial is 4 (highest power of variable x).

So, according to the Fundamental Theorem, the given polynomial can have AT MOST 4 roots, counting Multiplicity.

Hence, the number of roots for equation $5x^4 + 12x^3 – x^2 + 3x + 5 = 0$ is 4 .

7 0

2 years ago