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sergey [27]
3 years ago
11

What are the solutions to the quadratic equation 4x^2 = 64?

Mathematics
1 answer:
stellarik [79]3 years ago
7 0

Answer:

C

Step-by-step explanation:

Given

4x² = 64 ( divide both sides by 4 )

x² = 16 ( take the square root of both sides )

x = ± \sqrt{16} = ± 4

Solutions are x = - 4 and x = 4 → C

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What are the roots of f(x) = x2 – 48? –48 and 48 –24 and 24 Negative 8 StartRoot 3 EndRoot and 8 StartRoot 3 EndRoot Negative 4
Ivanshal [37]

Answer:

x=4\sqrt{3},\:x=-4\sqrt{3} are the roots.

Step-by-step explanation:

x=4\sqrt{3},\:x=-4\sqrt{3}

Considering the expression

x^2\:-\:48

Solving

x^2-48=0

x^2-48+48=0+48

x^2=48

\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}

x=\sqrt{48},\:x=-\sqrt{48}

Solving

x=\sqrt{48}

  = \sqrt{2^4\cdot \:3}

  \mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}

  = \sqrt{3}\sqrt{2^4}

  \mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^m}=a^{\frac{m}{n}}

  \sqrt{2^4}=2^{\frac{4}{2}}=2^2

  =2^2\sqrt{3}

  =4\sqrt{3}

So,

x=4\sqrt{3}

Similarly,

x=-\sqrt{48}=-4\sqrt{3}

Therefore, x=4\sqrt{3},\:x=-4\sqrt{3} are the roots.

Keywords: roots, expression

Learn more about roots from brainly.com/question/3731376

#learnwithBrainly

9 0
3 years ago
Read 2 more answers
Rounding up 3.82 inches
Vladimir79 [104]
Nearest Tenth, Hundred?
7 0
3 years ago
F(x)=3x+2 and g(x)=-2x-4, find h(x) = f(x)-g(x)
elena-14-01-66 [18.8K]

Answer:

5x-2

Step-by-step explanation:

Since f(x)-g(x) you take 3x+2 and subtract -2x-4.

3x+2+2x-4

5x-2

6 0
3 years ago
What quantity of a 30% solution do you need to make 150 mL of a 20% solution?
Bumek [7]

Answer:

Volume required = 100mL

Step-by-step explanation:

Let the volume of 30% solution required be = V mL

Amount of solute in V mL of solution = 30% of V = 0.3V...............(i)

This amount is also present in 150 mL of 20% solution

For 150 mL of 20% solution we have amount of solute = 150 mL X 20%

                                                                                          = 30..............(ii)

Thus equating i and ii we get

0.3V = 30

Thus V =100 mL

7 0
3 years ago
Explain to me how you got the anwser
suter [353]
The answer is b) 70 words per minute. If you divide 245 by 3.5, you get 70. So, the answer is 70 words per minute.
7 0
3 years ago
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