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3 years ago

Solve the equation for all values of x: (x+1)^2=-49

Mathematics

1 answer:

Kazeer [188]3 years ago

6 0

Answer:

Values for x = -1 + 7i and -1 - 7i

Step-by-step explanation:

we have an equation,

(x+1)^2 = -49

We need to solve this equation for all values of x:

(x+1)^2 = - 49

Taking square root both sides

√((x +1)^2) = √-49

x + 1 = ± 7i

Subtract both sides by 1

x = -1 ± 7i

Hence we get two values for x = -1 + 7i and -1 - 7i

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Answer:

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Step-by-step explanation:

Let x be the length of rectangular plot and y be the breadth of rectangular plot

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We are also given that an area of at least 8000 square feet.

So, $xy \leq 8000$

So, $x(220-x) \leq 8000$

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So, $220x-x^2 = 8000\\-x^2+220x-8000=0$

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$x=\frac{-220 \pm \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=\frac{-220 + \sqrt{220^2-4(-1)(-8000)}}{2(-1)} , \frac{-220 - \sqrt{220^2-4(-1)(-8000)}}{2(-1)}\\x=45.96,174.031$

So, The possible parking lengths are 45.96 feet and 174.031 feet

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