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.
1 it’s the most educated guess.
Answer: second step.
Step-by-step explanation:
you then have to distribute the answer not subtract 9 1/4 from 1.5
you have to do the parenthesis next
4.5/0.5=45/5=9
then
1.5*9= 13.5
then
9.25-13.5 which I think you are capable of solving
Answer:
CPCTC - Corresponding Parts of Congruent Triangles are Congruent
Step-by-step explanation:
When two triangles are congruent, this means they have the same shape and the same size. To have the same shape, each angle must be congruent. To have the same size, each side length must be congruent. When you know two triangles are congruent you can say each corresponding part of congruent triangles is congruent. This is known as CPCTC.
<span>(x^2-4x-6) factors into:</span>
(x -5.1623) (x+1.1623)
Therefore x = 5.1623 and x = -1.1623
(4x^2-8x-2) <span>factors into:
(x -2.2247) * (x +2.2474)
</span>
Therefore x = 2.2247 and x= -0.22474
