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Stels [109]
3 years ago
6

Solve for the roots in simplest form using the quadratic formula: x^2 + 61 =-10x

Mathematics
1 answer:
Yakvenalex [24]3 years ago
6 0

9514 1404 393

Answer:

  -5 ± 6i

Step-by-step explanation:

To use the quadratic formula, we need the equation in standard form. Adding 10x gives ...

  x^2 +10x +61 = 0

Then a=1, b=10, c=61, and the solutions are ...

  x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-10\pm\sqrt{10^2-4(1)(61)}}{2(1)}\\\\=\dfrac{-10\pm\sqrt{-144}}{2}=\dfrac{-10\pm12i}{2}\\\\ \boxed{x=\{-5-6i,-6+6i\}}

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Option B is correct. <em>Yes,</em><em> (9, 22) is a solution to the </em><em>inequalities</em><em> and the</em><em> measurements</em><em> will fit in the space. </em>

The formula for calculating the perimeter of the rectangular fence is expressed as:

A = 2(L + W) where:

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If Jamie can afford at most 70feet to build a rectangular fence is expressed as:

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<em>We are to check if the garden measure 9 feet by 22 feet. To do this we are to substitute L = 9 and W = 22 into the formula to check if the result will be less than 70</em>

On substituting:

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= 18 + 44

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Since 63 feet is less than 70 feet, hence we can conclude that <em>Yes,</em><em> (9, 22) is a solution to the </em><em>inequalities</em><em> and the</em><em> measurements</em><em> will fit in the space. </em>

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<em>Learn more here: brainly.com/question/17229451</em>

8 0
2 years ago
A store is having a closing sale. All items in the store are 35% off. Samantha found a jacket she wants to buy with an original
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Answer:

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Answer:

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