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Natasha2012 [34]

3 years ago

9

Solve 5x^2 +16x -84=0 using the quadratic equation

1 answer:

Andrew [12]3 years ago

8 0

In order to find the answer to this question, we need to use the quadratic formula.

-b +- √b² - 4ac
2a

In this equation, 5 is a, 16 is b, and -84 is c. You'll notice that the formula says 'plus or minus', meaning that there are two answers depending on whether you add or subtract. Let's start by adding.

-16 + √16² -(4(5)(-84)
2(5)

Use a calculator to simplify. Remember PEMDAS (parentheses, exponents, multiplication and division, addition and subtraction) when deciding which order to go in.

-16 + 44
10
2.8

One solution is 2.8. Now, let's do the same thing, but subtract this time. Keep in mind that the number under the radical stays the same, so you don't have to recalculate that.

-16 - 44
10
-6

The solutions to the equation are 2.8 and -6.

Hope this helps!

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zloy xaker [14]

-9/ 3= -3

-3 + -4 + -2 = -9

the numbers are -2 , -3 , -4

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prisoha [69]

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Oksanka [162]

The answer is Option B $(x + 6)(x^2 + 8)$

Step-by-step explanation:

Step 1: Group the given cubic polynomial into two sections.

So polynomial can be grouped as

$(x^3 + 6x^2) + (8x + 48)$

Step 2:Find what's the common in each section.

In section $(x^3 + 6x^2)$ the come term is $x^2$

In section (8x + 48) the come term is 8

Step 3:Factor the commonalities out of the two terms.

Factoring out $x^2$ from the first section $(x^3 + 6x^2)$ , we get $x^2(x + 6)$

Factoring out 8 from the second section(8x + 48) , we will get 8(x + 6).

Step 4: Combine the factors together for terms contains the same factor,

Combining we get, $\left(x+6\right)\left(x^2+8\right)$

$\left(x+6\right)\left(x^2+8\right)$

7 0

3 years ago

tester [92]

Answer:

see explanation

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here [ a, b ] = [ 4, 7 ], thus

z = $\frac{g(7)-g(4)}{7-4}$

4 0

3 years ago

The sum of 1/3 and twice a number is equal to 2/3 subtracted from three the number.find the number

Zigmanuir [339]

The number = y

2y + 1/3 = 2/3 - 3y
(add 3y to both sides)
5y + 1/3 = 2/3
(subtract 1/3 from both sides to isolate y)
5y = 1/3
(divide by 5)
y = 1/15

4 0

3 years ago