The options Patel has to solve the quadratic equation 8x² + 16x + 3 = 0 is x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot.
<h3>Quadratic equation</h3>
8x² + 16x + 3 = 0
8x² + 16x = -3
8(x² + 2x) = -3
- Using completing the square
8(x² + 2x + 1) = -3 + 8
8(x² + 1) = 5
(x² + 1) = 5/8
- Taking the square root of both sides
(x + 1) = ± √5/8
x = -1 ± √5/8
Therefore,
x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot
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X2 + 12 = 7x x2 – 7x + 12 = 0factor the equation (x – 3 ) ( x – 4 ) = 0 Then equating both factor to 0 X – 3 = 0 X = 3 And X – 4 = 0 X = 4 So the answer is X = 3 X =4
Make the equations equal and solve for x
- 2x²+6x+1=-4x²+1
- 6x²+6x=0
- 6x(x+1)=0
- 6x=0 or x+1=0
- x=0 or x=-1
For x=0
For x=-1
The solutions are
Graph attached
With 
, we have
Then the difference quotient is
since <em>h</em> ≠ 0.
Answer:
The solution (25, 20) tells the contractor the number of hours on a job where the hourly rate is the same for both billing options.
Step-by-step explanation:
