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3 years ago

Solve this using square roots and show your work please 4x^2-256=0

Mathematics

1 answer:

mamaluj [8]3 years ago

5 0

Answer:

x = ± 8

Step-by-step explanation:

Given

4x² - 256 = 0 ( add 256 to both sides )

4x² = 256 ( divide both sides by 4 )

x² = 64 ( take the square root of both sides )

x = ± $\sqrt{64}$ = ± 8

Solutions are x = - 8, x = 8

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One of the roots of the equation 3x^2+7x−q=0 is −5. Find the other root and q.

statuscvo [17]

Answer: The answer is $\textup{The other root is }\dfrac{8}{3}~\textup{and}q=40.Step-by-step explanation: The given quadratic equation is[tex]3x^2+7x-q=0\\\\\Rightarrow x^2-\dfrac{7}{3}x-\dfrac{q}{3}=0.$

Also given that -5 is one of the roots, we are to find the other root and the value of 'q'.

Let the other root of the equation be 'p'. So, we have

$p-5=-\dfrac{7}{3}\\\\\\\Rightarrow p=5-\dfrac{7}{3}\\\\\\\Rightarrow p=\dfrac{8}{3},$

and

$p\times(-5)=-\dfrac{q}{3}\\\\\\\Rightarrow \dfrac{8}{3}\times 5=\dfrac{q}{3}\\\\\\\Rightarrow q=40.$

Thus, the other root is $\dfrac{8}{3}$ and the value of 'q' is 40.

3 0

3 years ago

Solve for x, given the equation Square root of x plus 9 − 4 = 1.

yuradex [85]

√x + 9 - 4 = 1
√x + 5 = 1
√x = -4
√x = √-4
x = 2i

3 0

3 years ago

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What is the value of x in simplest radical form?

Y_Kistochka [10]

Your anwser for letter X is 2

3 0

3 years ago

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Emmanuel added two integers Which condition will always give Emmanuel a negative solution when he adds two integers? Both intege

alexgriva [62]

Both integers have negative values

Explanation

Let

x and y represents the number

so, the options are

$\begin{gathered} +\text{ + +} \\ +\text{ + -} \\ -\text{ + +} \\ -\text{ +-} \end{gathered}$

a) Both integers have negative values Both integers

$-x-y=-(x+y)\rightarrow you\text{ will always get a negative number}$

b) Both integers have positive values

$x+y=+\text{ + += you will always get a positive number}$

c)One integer has a positive value, and one integer has a negative value

$\begin{gathered} -x+y\text{ or x-y} \\ the\text{ sign of the result depends on the greates absolute value, it means the answer will have the same of the bigger number( absolute value)} \end{gathered}$

d)The values of the two integers are opposites

as the point C , the sign depends on the bigger number

for example

$\begin{gathered} 8-5=3\text{ positive because 8 is the bigger} \\ 5-8=-3\text{ negative because (-8) is has the bigger absolute value} \end{gathered}$

so, the answer is Both integers have negative values

I hope this helps you

3 0

1 year ago

GIVING BRAINLIEST FOR BEST ANSWER!

umka21 [38]

Answer:

Step-by-step explanation:

5 * 3/4

5/1 * 3/4

15/4

7 0

2 years ago

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