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kupik [55]
2 years ago
10

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. −2y2 + 6y = −2

Mathematics
2 answers:
andrezito [222]2 years ago
8 0
-2y^2 + 6y + 2 = 0
a = -2, b = 6, c = 2
x = (- b + - sqrt(b^2-4ac))/(2a)
x=(-6+-sqrt(36-4*-2*2))/-4
x=(-6+-sqrt(36+16))/-4
x=(-6+-sqrt(52))/-4
x = (-6 +- 2sqrt13)/-4
x = (3 + - sqrt13)/2
Anarel [89]2 years ago
7 0

Answer:

-0.3 Or 3.3

Step-by-step explanation:

-2y^2 + 6y + 2 = 0

X = -6 + 7.21/-4 or -7 - 7.21/-4

X = -0.3 or X = 3.3

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Tamara and Clyde got different answers when dividing 2x4 + 7x3 – 18x2 + 11x – 2 by 2x2 – 3x + 1. Analyze their individual work.
Umnica [9.8K]

The statements and their individual answers are not provided in the question. However, please check the explanation given below for the equation.

Step-by-step explanation:

  • The equation given is \frac{2x^{4} + 7x^{3} + 18x^{2} + 11x -2}{2x^{2} - 3x + 1 }
  • Divide the leading term of the dividend by the leading term of the divisor: \frac{2x^{4} }{2x^{2} }  = x^{2}
  •  Multiply it by the divisor: x^{2} ({2x^{2} -3x +1) = 2x^{4} - 3x^{3} + x^{2}
  • Subtract the dividend from the obtained result: (2x^{4} + 7x^{3} + 18x^{2} + 11x - 2) - (2x^{4} - 3x^{3} + x^{2} ) = (10x^{3} + 17x^{2} + 11x -2)
  • Divide the leading term of the obtained remainder by the leading term of the divisor: \frac{10x^{3}}{2x^{2} }  = 5x
  • Multiply it by the divisor: 5x (2x^{2} - 3x + 1) = 10x^{3} - 15x^{2} + 5x
  • Subtract the remainder from the obtained result: (10x^{3} + 17x^{2} + 11x -2) - (10x^{3} - 15x^{2} + 5x) = (32x^{2} + 6x - 2)
  • Divide the leading term of the obtained remainder by the leading term of the divisor: \frac{32x^{2} }{2x^{2} } = 16
  • Multiply it by the divisor: 16 (2x^{2} - 3x +1) = 32x^{2} - 48x +16
  • Subtract the remainder from the obtained result: (32x^{2} + 6x - 2) - (32x^{2} - 48x +16) = 54x - 18
  • Since the degree of the remainder is less than the degree of the divisor, then we are done.
  • Therefore,  \frac{2x^{4} + 7x^{3} + 18x^{2} + 11x -2}{2x^{2} - 3x + 1 } = (x^{2} + 5x +16 + \frac{54x - 18}{2x^{2}  - 3x +1})
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What is the first step in writing f(x) = 6x2 + 5 – 42x in vertex form?
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f(x) = 6x² - 42x + 5

Exponents must be in decreasing order. 
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What is true about the solution of StartFraction x squared Over 2 x minus 6 EndFraction = StartFraction 9 Over 6 x minus 18 EndF
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Answer:

x=\pm\sqrt{3}  and they are actual solutions

Step-by-step explanation:

we have

\frac{x^2}{2x-6}=\frac{9}{6x-18}

Factor the denominators both sides

\frac{x^2}{2(x-3)}=\frac{9}{6(x-3)}

Simplify

\frac{x^2}{2}=\frac{9}{6}

x^2=\frac{18}{6}

x=\pm\sqrt{3}

<u><em>Verify</em></u>

1) For x=\sqrt{3}

\frac{\sqrt{3}^2}{2(\sqrt{3}-3)}=\frac{9}{6(\sqrt{3}-3)}

\frac{3}{2(\sqrt{3}-3)}=\frac{9}{6(\sqrt{3}-3)}

18=18 ---> is true

therefore

x=\sqrt{3} ----> is an actual solution

2) For x=-\sqrt{3}

\frac{-\sqrt{3}^2}{2(-\sqrt{3}-3)}=\frac{9}{6(-\sqrt{3}-3)}

\frac{3}{2(-\sqrt{3}-3)}=\frac{9}{6(-\sqrt{3}-3)}

18=18 ---> is true

therefore

x=-\sqrt{3}  ----> is an actual solution

therefore

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1 year ago
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