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beks73 [17]
2 years ago
8

Solve the quadratic equation by completing the square x^2+5x-3=0

Mathematics
1 answer:
PIT_PIT [208]2 years ago
8 0

{\tt{x =  \frac{ -b± \sqrt{ {b}^{2} - 4ac } }{2a} }}

{\tt{ x =  \frac{ - 5±\sqrt{{5}^{2}  - 4 \times 1 \times ( - 3)} }{2 \times 1} }}

{\tt{x =  \frac{ - 5±\sqrt{25 + 12} }{2} }}

{\tt{x =  \frac{ - 5 ±\sqrt{37}  }{2} }}

\:  \:

{\tt{x =  \frac{ - 5 +  \sqrt{37} }{2} }}

{\tt{x =  \frac{ - 5 -  \sqrt{37} }{2} }}

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Tuse
Serhud [2]
Answer: x=4 and BC=20


STEPS:

Set the equation for AC and DF equal to each other then solve for x.

2x+7=5x-5

Eliminate the -5 by adding it to both sides.

2x+12=5x

Move the x to one side by subtracting 2x from both sides.

12=3x

Isolate the x by dividing both sides by 3

4=x


EF=5x which means BC=5x

5(4)= 20

So BC= 20
7 0
3 years ago
chi has a big pile of nickels. he says, "even if I use 100 of these nickels, I'll still have 95% of my original pile." how many
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Chi would have two thousand nickels because if 100 nickels is 5% and 100 divided 5 is 20 so a 100 times 20 is 2000
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3 years ago
Fill in the blank
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Answer:

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3 years ago
Write a polynomial function of least degree with integral coefficients that has the
frutty [35]

A polynomial function of least degree with integral coefficients that has the

given zeros  f(x)=x^4+x^3+9x^2+9x

Given

Given zeros are 3i, -1  and 0

complex zeros occurs in pairs. 3i is one of the zero

-3i is the other zero

So zeros are 3i, -3i, 0 and -1

Now we write the zeros in factor form

If 'a' is a zero then (x-a) is a factor

the factor form of given zeros

\:\left(x-3i\right)\left(x-\left(-3i\right)\right)\left(x-0\right)\left(x-\left(-1\right)\right)\\\left(x-3i\right)\left(x+3i\right)\left(x-0\right)\left(x+1\right)

Now we multiply it to get the polynomial

x\left(x-3i\right)\left(x+3i\right)\left(x+1\right)\\x\left(x^2+9\right)\left(x+1\right)\\x\left(x^3+x^2+9x+9\right)\\x^4+x^3+9x^2+9x

polynomial function of least degree with integral coefficients that has the

given zeros  f(x)=x^4+x^3+9x^2+9x

Learn more : brainly.com/question/7619478

6 0
3 years ago
What is the distance between A and B? Round your answer to the nearest tenth.
poizon [28]
\bf ~~~~~~~~~~~~\textit{distance between 2 points}&#10;\\\\&#10;A(\stackrel{x_1}{-1}~,~\stackrel{y_1}{5})\qquad &#10;B(\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad &#10;%  distance value&#10;d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}&#10;\\\\\\&#10;AB=\sqrt{[4-(-1)]^2+[1-5]^2}\implies AB=\sqrt{(4+1)^2+(1-5)^2}&#10;\\\\\\&#10;AB=\sqrt{5^2+(-4)^2}\implies AB=\sqrt{41}
4 0
3 years ago
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