Question

A quadratic function is given as f (x) = 4x^2 + 8x + 10. Write an equivalent function

Answer 1

@jojokiw3

Answer 2

@Ms-Brains

Answer 3

You can factor the equation and take a common factor out of the three terms.

Answer 4

How could I solve this by using the complete the square formula?

Answer 5

You want to solve for x? It's not an equation so I don't think you can complete the square. But I may be wrong because I kind of forget how to complete the square

Answer 6

We have the quadratic equation \[x = \frac{ -b \pm \sqrt{b^2 - 4ac} }{ 2a }\] and we have the form equation \[ax^2 + bx + c \] How will you implement this?

Answer 7

\[4x^2 + 8x + 10\] What is your a, b, and c?

Answer 8

a: 4
b:8
c:10

Answer 9

Ok. Now fill in the values with the quadratic formula

Answer 10

\[-8\pm \sqrt{8^2-4(4)(10)}\]
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2(4)

Answer 11

Solve it. :P Note: You'll get an imaginary number.

Answer 12

\[\frac{ 8\pm \sqrt{96} }{ 8 }\]

Answer 13

Can you simplify further?

Answer 14

Simplify the square root first.

Answer 15

sqrt 96= 9.7979

Answer 16

Careful actually. You have a couple sign mistakes in your \[\frac{ 8 \pm \sqrt{96} }{ 8 }\] Find them

Answer 17

\[\frac{ 8\pm \sqrt{96i} }{ 8 }\]

Answer 18

Okay uh. \[\frac{ -8 \pm \sqrt{64-160} }{ 8 } \neq \frac{ 8 \pm \sqrt{96} }{ 8 }\] What about the negative sign in front of the 8 and the smaller number subtracting the larger? When a small number subtracts a larger number, you get a negative.

Answer 19

You're right, sorry.

Answer 20

So now we have \[\frac{ -8 \pm \sqrt{96} }{ 8 }\]

We can reduce our square root more \[\sqrt{-96} = \sqrt{16*-6} = 4\sqrt{-6} = 4i \sqrt{6}\]
Recall that \[i = \sqrt{-1}\]

Now we end up with \[\frac{ -8 \pm 4i \sqrt{6} }{ 8 } \]

Now you can simply do some simple cancelling, between the integers and you have your answer.

Answer 21

lol error in my first equation...forgot the negative in the square root.

Answer 22

\[-1 \pm 0.5i \sqrt{6} = answer\]