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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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When the square of a certain number is diminished by 9 times the number the result is 36?
ArbitrLikvidat [17]
X²-9x=36
minus 36 both sides
x²-9x-36=0
what 2 numbers multiply to -36 and add to -9
-12 and 3
(x-12)(x+3)=0
set to zero
x-12=0
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x+3=0
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the number is either -3 or 12
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Aleksandr-060686 [28]

Answer:

x=sqrt{22}

Step-by-step explanation:

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3 years ago
If two lines in a linear system __________, they have exactly one point in common.
Alex17521 [72]

intersect.

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6 0
3 years ago
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making 22 3/4 cups of chowder each cup of chowder holds 7/8 of a cup , the restaurant charges $2.95 per bowl. how much money wil
stiks02 [169]
<span><span>1.       </span>The restaurant is making 22 ¾ cups of chowder. Each cup of chowder holds 7/8 of a cup.
Then the restaurant charges 2.95 dollars per bowl. Let’s find out how much money will the restaurant earned.
Solutions:
=> 22 ¾ = 22.75 cups of chowder
=> 7/8 = 0.88 cup of chowder it can holds.
Let’s solve to get the correct answer:
=> 22.75 / .88 = 25.85 cups in all.
Then, let’s multiply this with the amount
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SO the restaurant earned 76.26 dollars for the chowder.</span>



3 0
3 years ago
If &lt; A and &lt; B are vertical angles, and &lt; A = 2x - 11 degrees, and &lt; B = x + 7 degrees, find x.
Tema [17]

Answer:

x=18

Step-by-step explanation:

Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.

1) 2x-11=x+7

2) x-11=7

3)x=18

7 0
3 years ago
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