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Nataly_w [17]
3 years ago
7

What is the positive solution to the equation 0 = –x2 + 2x + 1? Quadratic formula: x = StartFraction negative b plus or minus St

artRoot b squared minus 4 a c EndRoot Over 2 a EndFraction –2 + StartRoot 2 EndRoot 2 – StartRoot 2 EndRoot 1 + StartRoot 2 EndRoot –1 + StartRoot 2 EndRoot
Mathematics
2 answers:
romanna [79]3 years ago
9 0

Answer:

1+\sqrt{2}

Step-by-step explanation:

If a quadratic equation is defined as

ax^2+bx+c=0          .... (1)

then the quadratic formula is

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

The given quadratic equation is

0=-x^2+2x+1

It can we written as

-x^2+2x+1=0             .... (2)

On comparing (1) and (2) we get

a=-1,b=2,c=1

Substitute these values in the quadratic formula.

x=\dfrac{-2\pm \sqrt{2^2-4(-1)(1)}}{2(-1)}

x=\dfrac{-2\pm \sqrt{4+4}}{-2}

x=\dfrac{-2\pm \sqrt{8}}{-2}

x=\dfrac{-2\pm 2\sqrt{2}}{-2}

Taking out common factors.

x=\dfrac{-2(1\pm \sqrt{2})}{-2}

x=1\pm \sqrt{2}

Two roots are

x=1+\sqrt{2} and x=1-\sqrt{2}

We know that

\sqrt{2}=1.41

So

1

Therefore, root x=1+\sqrt{2} is positive and x=1-\sqrt{2} is negative.

murzikaleks [220]3 years ago
3 0

Answer:

C on edge

Step-by-step explanation:

Just took the test!

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Answer:

See below for answer.

Step-by-step explanation:

RP/RT =RQ/RS                  Given

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3 years ago
Train A traveled 173 miles in five hours. For Train B, y = 31.35x represents its rate of speed over the same five hours. Which t
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<span> D) Train A by a factor of 1.1
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4 0
3 years ago
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Step-by-step explanation:

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3 years ago
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(b) The area of a rectangular pool is 5488 m\2 If the length of the pool is 98 m, what is its width?​
mrs_skeptik [129]

Answer:

56

Step-by-step explanation:

To find the area of a rectangle we have the foruma A=WxL.

But we already have the area and length so we can plug that in

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Now its an algebreic expression.

SInce its multiplying we do the opposite, so we divide 98 on both sides.

98/98 crosses itself out so now its 5488/98. Which equals 56. So now our expression is W=56. To fact check we put the numbers 56 and 98 into the formula to see if we get 5488.

A=56x98

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1 year ago
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