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inn [45]
2 years ago
12

Solve square root of x + square root of x+2 = 2

Mathematics
1 answer:
andrew-mc [135]2 years ago
4 0

The value of x is \frac{1}{4}

Step-by-step explanation:

Given:

\sqrt{x} +  \sqrt{x + 2} = 2

Rearranging the radical on left side,

\sqrt{x + 2} = 2 - \sqrt{x}

Power on both sides,

(\sqrt{x + 2})^{2}  = (2 - \sqrt{x})^{2}

Simplifying the left,

x + 2 = (2 - \sqrt{x} )^{2}

For the RHS equation, use the property of (a-b)² = (a²-2ab+b²),

=  > x + 2 =  {2}^{2} - (2 \times 2 \sqrt{x}) + ( \sqrt{x})^{2}

Now calculating its powers,

=  > x + 2 = 4 - 4\sqrt{x} + x

Now sending -4√x to the LHS (left side), its sign becomes plus (+),

=  > 4 \sqrt{x} = 4 + x - x - 2

Now the +x and -x will be cancelled,

=  > 4 \sqrt{x} = 4 - 2

=  > 4 \sqrt{x} = 2

Bringing 4 to the right side, it becomes the denominator,

=  >  \sqrt{x} =  \frac{2}{4}

=  >  \sqrt{x} =  \frac{1}{4}

Now powering both sides,

=  > ( \sqrt{x})^{2} = ( \frac{1}{2})^{2}

=  > x =  \frac{1}{4}

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Step-by-step explanation:

4 0
2 years ago
PR and os are diameters of circle T. What is the
____ [38]

Answer:

100degrees

Step-by-step explanation:

Find the diagram attached

From the diagram

<PQT =<TRS = 40

Since the triangle STR is isosceles, here,

<TSR =<TRS = 40

Also the sum of angle in a triangle is 189, hence:

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8 0
2 years ago
Solve 4X^2+7 = 8X +4 by using the quadratic formula
Sergio [31]

Answer:

(1.5,0)

(.5,0)

Step-by-step explanation:

Quadratic formula below

We first need to move everything to one side of the equation

4x²-8x+3=0

Then plug everything in

(8±√(-8²-4*4*3))/(2*4)

(8±√16)/8

To calculate the ± we need to do when where it's adding and then negative

we have

(8+4)/8=3/2

and hten

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4 0
3 years ago
Log 54 round to the nearest thousand. <br><br>I got 1.73239
Nonamiya [84]

Type into your calculator (if you haven't already): log 54.


My result: was similar to yours.


Note, however, that we're supposed to round off these results to the nearest thousandths (not thousand).


Your 1.73239 would need to be rounded off to 1.732, with 2 being the nearest thousandths.




7 0
2 years ago
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Luden [163]
Of you have 3 squared you get 9 then 2 times -2 is -4. then you add them 9=-4 which would be ...A: 5
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3 years ago
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