SOLUTION: I need help with this equations: 1) write y=4x^2-32x+66 in vertex form 2)use the quadratic formula to solve the equation 4x^2-x+3=0

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Question 580183: I need help with this equations:
1) write y=4x^2-32x+66 in vertex form
2)use the quadratic formula to solve the equation
4x^2-x+3=0
Answer by dfrazzetto(283)   (Show Source): You can put this solution on YOUR website!
1) write y=4x^2-32x+66 in vertex form
Complete the square:
y= 4x^-32x+64 + 66 - 64
y= (2x-8)^2 + 2
vertex = 4,2

2)use the quadratic formula to solve the equation
4x^2-x+3=0
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -47 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.


In the field of imaginary numbers, the square root of -47 is + or - .

The solution is

Here's your graph:
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