Answer:
3/8
Step-by-step explanation:
1/8 + 1/4 = 1/8 + 2/8 = 3/8
Note that 1/4 = 1/4 * 2/2 = 1*2 / 4*2 = 2/8
So you need to come up with a perfect square that works for the x coefficients.
like.. (2x + 2)^2
(2x+2)(2x+2) = 4x^2 + 8x + 4
Compare this to the equation given. Our perfect square has +4 instead of +23. The difference is: 23 - 4 = 19
I'm going to assume the given equation equals zero..
So, If we add subtract 19 from both sides of the equation we get the perfect square.
4x^2 + 8x + 23 - 19 = 0 - 19
4x^2 + 8x + 4 = - 19
complete the square and move 19 over..
(2x+2)^2 + 19 = 0
factor the 2 out becomes 2^2 = 4
ANSWER: 4(x+1)^2 + 19 = 0
for a short cut, the standard equation
ax^2 + bx + c = 0 becomes a(x - h)^2 + k = 0
Where "a, b, c" are the same and ..
h = -b/(2a)
k = c - b^2/(4a)
Vertex = (h, k)
this will be a minimum point when "a" is positive upward facing parabola and a maximum point when "a" is negative downward facing parabola.
Answer:
32x-4
Step-by-step explanation:
1. Add the numbers.
2x(16)-4
2. Multiply the numbers.
32x-4
Answer:
-53/12
Step-by-step explanation:
convert mixed nukber to improper fraction
-23/3+(-5 1/2)+8 3/4
-23/3-5 1/2+8 3/4
-23/3-5 1/2+35/4
-23/3-11/2+35/4
-53/12
Answer:
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Step-by-step explanation:
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