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hoa [83]
3 years ago
6

Please help me with this

Mathematics
1 answer:
Zanzabum3 years ago
6 0

Answer:

x=

−4y+32

9

Step-by-step explanation:

Let's solve for x.

y=

−9

4

x+8

Step 1: Flip the equation.

−9

4

x+8=y

Step 2: Add -8 to both sides.

−9

4

x+8+−8=y+−8

−9

4

x=y−8

Step 3: Divide both sides by (-9)/4.

−9

4

x

−9

4

=

y−8

−9

4

x=

−4y+32

9

I think this is the right answer.

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Answer:

\large \boxed{\sf \ \ x = -\dfrac{\sqrt{33}+1}{4} \ \ or \ \ x = \dfrac{\sqrt{33}-1}{4} \ \ }

Step-by-step explanation:

Hello, please find below my work.

2x^2+x-4=0\\\\\text{*** divide by 2 both sides ***}\\\\x^2+\dfrac{1}{2}x-2=0\\\\\text{*** complete the square ***}\\\\x^2+\dfrac{1}{2}x-2=(x+\dfrac{1}{4})^2-\dfrac{1^2}{4^2}-2=0\\\\\text{*** simplify ***}\\\\(x+\dfrac{1}{4})^2-\dfrac{1+16*2}{16}=(x+\dfrac{1}{4})^2-\dfrac{33}{16}=0

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Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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