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Lesechka [4]
3 years ago
14

Use the Quadratic Formula to solve the equation 4x^2−7=4x.

Mathematics
1 answer:
tino4ka555 [31]3 years ago
6 0

Answer:

\large\boxed{x=\dfrac{1}{2}-\sqrt2\ or\ x=\dfrac{1}{2}+\sqrt2}

Step-by-step explanation:

\text{The quadratic formula of}\ ax^2+bx+c=0:\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

\text{We have:}\\\\4x^2-7=4x\qquad\text{subtract}\ 4x\ \text{from both sides}\\\\4x^2-4x-7=0\\\\a=4,\ b=-4,\ c=-7\\\\b^2-4ac=(-4)^2-4(4)(-7)=16+112=128\\\\\sqrt{b^2-4ac}=\sqrt{128}=\sqrt{64\cdot2}=\sqrt{64}\cdot\sqrt2=8\sqrt2\\\\x=\dfrac{-(-4)\pm8\sqrt2}{(2)(4)}=\dfrac{4\pm8\sqrt2}{8}\qquad\text{simplify by 4}\\\\x=\dfrac{1\pm2\sqrt2}{2}\to x=\dfrac{1}{2}\pm\sqrt2

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Answer: Option C

Step-by-step explanation:

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3 0
3 years ago
A restaurant has 6 pizza toppings to choose from. How many different 3 -topping pizzas are possible?
daser333 [38]
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7 0
3 years ago
What is the area of an Octagon with a side length of 11.6.
baherus [9]

Answer:

A= 649.71

Step-by-step explanation:

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6 0
3 years ago
PLease help me in my maths homework I dont really understand it. Calculate the area of the trapezium CDEF
alexira [117]

Answer:

48

Step-by-step explanation:

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REMEMBER: The formulae for working out the area of a trapezium is 1/2x(a+b)xh

5 0
2 years ago
Can someone please help me? :( please choose all that are equivalent
vivado [14]

Answer:

C and D are answers, I dunno if there are any other possible answers.

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
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