General vertex form:
Given :
Extract "spread factor" m
Complete the square
Write as a squared binomial and simplify the constant
Re-write to match signs of standard general form:
Answer:
57×2/3+32×450-[39-4+2]/2+8
57×2/3+32×450-(39-6/2)+8
57×2/3+32×450-36+8
57×2/3+14400-28
57×2/3+14372
38+14372
14410
A quadratic equation is set up in the form of ax² + bx +c
First set equation = to 0
0= x² - 5x - 24
Next plug into quadratic formula( -b Plus or minus the √b²-4ac) ÷ 2a
[10 plus or minus √(25² - 4×1×24)] ÷ 2
Solve for inner parenthesis first
√625- 96 = √529
Now set up two equations
(10 + √529) ÷2 = x = 16.5
(10 - √529) ÷2 = x = -6.5
So therefore x = 16.5 and -6.5
It would be 26 repeating itself
