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leva [86]
4 years ago
9

Wiat number should be added to both sides of the equation to complete the square? X^2+x=11

Mathematics
2 answers:
Ivahew [28]4 years ago
7 0

Answer:

add 1/4 to each side

Step-by-step explanation:

x^2+x=11

We take the coefficient of the x term

1

Then divide it by 2

1/2

Then square it

(1/2) ^2 = 1/4

Add this to both sides of the equation

x^2 + x + 1/4 = 11+1/4

(x+1/2)^2 = 11 1/4

sukhopar [10]4 years ago
7 0

Answer:

0.25.

Step-by-step explanation:

x^2 + x = 11

(x + 0.5)^2 - 0.25 = 11

(x + 0.5)^2 - 0.25 + 0.25 = 11 + 0.25

(x + 0.5)^2 = 11.25.

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2x^2+5x+3/x^2-3x-4 divided by 4x^2+2x-6/x^2-8x+16
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Answer: \frac{x-4}{2x-2}

Step-by-step explanation:

\frac{2x^2+5x+3}{x^2-3x-4} divided by \frac{4x^2+2x-6}{x^2-8x+16} is the same thing as multiplying \frac{2x^2+5x+3}{x^2-3x-4} by \frac{x^2-8x+16}{4x^2+2x-6}.

The equation we get is:

\frac{2x^2+5x+3}{x^2-3x-4}*\frac{x^2-8x+16}{4x^2+2x-6}

With this equation, we can factor each equation:

\frac{(x+1)(2x+3)}{(x+1)(x-4)} *\frac{(x-4)(x-4)}{2(x-1)(2x+3)}

We can cancel out like terms since they would be dividing each other:

\frac{x-4}{2x-2}

8 0
3 years ago
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Soloha48 [4]
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3 years ago
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A time/motion word problem
andriy [413]
The two planes are flying on the two legs of a right triangle.
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Since the speeds are in mph, let's work the time in hours.
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After 'H' hours, the first plane has gone 500H miles north.
After 'H' hours, the second plane has gone 1200H miles east.
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Step-by-step explanation:

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