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sveticcg [70]
3 years ago
11

X^2=1 has two solutions. If the equation is changed to 4x^2=1 which operation find the solutions of the new equation?

Mathematics
1 answer:
snow_lady [41]3 years ago
3 0

Answer:

X = -1/2 or 1/2

Step-by-step explanation:

When the square root of  a number is found, this usually results in 2 solutions which may be equal in size but opposite in signs.

As such,

X^2=1 to find x find the root of both sides

X = √1

X = -1 or 1

Going by this

4x^2=1

Divide both sides by 4

X^2=1 /4

taking the square root of both sides

X = √1/4

The root of 1 is -1 or 1 while that of 4 is -2 or 2 hence,

X = -1/2 or 1/2

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<em>I had the same question and the answer was B.</em>

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3 years ago
Please help me!<br><br> Solve for x : show your steps!<br><br> 2(x +8) = 4(x+2)
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4

Step-by-step explanation:

First, use the distributive property: 2x+16=4x+8

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8 0
3 years ago
Rewrite f(x) = 3(x − 2)2 + 1 from vertex form to standard form.
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Answer:

f(x) = 9x^2-36x+37

Step-by-step explanation:

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6 0
3 years ago
What polynomial should be subtracted from the polynomial y^2–5y+1 to get the difference equal to: y^2
fomenos
<h3>Answer:</h3>

-5y +1

<h3>Step-by-step explanation:</h3>

Let the polynomial to be subtracted be represented by Q. Then you want ...

... (y^2 -5y +1) -Q = y^2

... (y^2 -5y +1) = y^2 +Q . . . . add Q

... (y^2 -5y +1) -y^2 = Q . . . . .subtract y^2

... -5y +1 = Q . . . . . . . . . . . . . simplify

The polynomial to be subtracted is -5y +1.

4 0
3 years ago
She completes the problem as seen in the steps below.
prisoha [69]

Answer:

• All her steps are right, and the answer is right as well

Step-by-step explanation:

2(x + 1) + 1 = 5 \\ 2(x + 1) = 5 - 1 \\ 2(x + 1) = 4 \\  \\  \frac{2(x + 1)}{2}  =  \frac{4}{2}  \\  \\ x + 1 = 2 \\ x = 2 - 1 \\ x = 1

5 0
3 years ago
Read 2 more answers
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