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inessss [21]
2 years ago
5

What is the solution to the quadratic equation below? x^2-8x+16=11

Mathematics
1 answer:
lana [24]2 years ago
8 0

Using it's formula, the solutions to the quadratic equation x² - 8x + 16 = 11 are: x = -4 \pm \sqrt{11}

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

x_1 = \frac{-b + \sqrt{\Delta}}{2a}

x_2 = \frac{-b - \sqrt{\Delta}}{2a}

In which:

\Delta = b^2 - 4ac

In this problem, the equation is:

x² - 8x + 16 = 11

In standard-form:

x² - 8x + 5 = 0

The coefficients are a = 1, b = -8, c = 5, hence:

\Delta = (-8)^2 - 4(1)(5) = 44

x_1 = \frac{-8 + \sqrt{44}}{2} = -4 + \sqrt{11}

x_2 = \frac{-8 - \sqrt{44}}{2} = -4 - \sqrt{11}

More can be learned about quadratic equations at brainly.com/question/24737967

#SPJ1

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Aleonysh [2.5K]

Step-by-step explanation:

3( x +1) = 5 (x - 2) + 7

3x + 3 = 5x - 10 + 7

5x - 3x = 3 + 10 - 7

2x = 13 - 7

2x = 6

Therefore x = 3

8 0
3 years ago
A project has a forecasted cash flow of $110 in year 1 and $121 in year 2. Risk free rate is 5%, the estimated risk premium on t
Crazy boy [7]

From the question we are told that:

Cash Flow:

Year 1= \$110

Year 2 = \$121

Risk free rate is r=5%

Risk premium  R=10\%

\beta = 0.7.

a)

Generally, the equation for Equity Return is mathematically given by

e=r+\beta*R

e=0.05+(0.7*0.10)

e=0.12

Therefore Present Value (PV) is

PV=\frac{110}{1+0.12}+\frac{121}{1+0.12^2}

b)

Generally, the equation for  certainty-equivalent cash flow is mathematically given by

CE=(1+r)\frac{Year}{1+e}

Therefore

For Certainty-equivalent cash flow Year One

CE__=(1+0.05)\frac{110}{1+0.12}

CE_1=103.125

For Certainty-equivalent cash flow Year Two

CE_2=(1+0.05)\frac{121}{1+0.12}

CE_2=113.4

c)

The Ratio of the certainty-equivalent cash flows to the expected cash flows in years 1 and 2 could be written as

R=103.125:113.4

or

R=\frac{103.125}{113.4}

7 0
3 years ago
Please help asap will mark brainliest
sashaice [31]
150 have a great day …
8 0
3 years ago
HELP PLS ASAP I WILL GIVE 50 points and brainliest PLS
masya89 [10]

Answer:

Maybe is 2y

Step-by-step explanation:

7 0
3 years ago
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Lisa is working on plans for a 12-acre housing development l. A park will cover 2 1/2 arcres, and paved areas will take 1 3/4 ar
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First add 2 2/4 and 1 3/4
= 4 1/4
Then subtract 4 1/4 from 12
= 7 3/4
4 0
3 years ago
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