x = (-b (+/-) root( b2 - 4ac)) / 2a
Sorry about the messy answer, there are no square root symbols or plus-minus symbols.
Here is the proof -
ax2 + bx + c = 0 --------> multiply by 4a
4a2x2 + 4abx + 4ac = 0
4a2x2 + 4abx = -4ac ----------> add b2 to both sides
4a2x2 + 4abx + b2 = b2 - 4ac -----------> factorise LHS
(2ax + b)2 = b2 - 4ac
2ax + b = (+/-) root( b2 - 4ac)
2ax = -b (+/-) root( b2 - 4ac)
x = (-b (+/-) root( b2 - 4ac)) / 2a
Maths works people.
A=0 b=0 c=0
you use A squared plus B squared equals C squared
C equals the square root of 1000 or 31.622776601683793319988935444327...
2.5 + 3.4 Pythagorean Theorem?
'A' squared plus 'B' squared equals 'C' squared. If 'A' and 'B' are the legs of the right angle comprising the sides of the box, 30 inches squared (900) plus 30 inches squared (900) equals 1800. The square root of 1800 is 42.426408711929.
That factors to (a + 1)(a + b) a = -1, -b b = -a
a=b=3.60555
4
b= 10
b = 14324.80366
pythagoras
b = sqrt32 or 4 root 2
Yes because if 1+0=1 than 0 plus b equals b
This is the common form of the Pythagorean Theorem. It describes the relationship between the two legs of a right triangle and the hypotenuse.
The Pythagoream Thereom is a^2 + b^2 = c^2. Written out it is a squared plus b squared equals c squared.
A=0 b=0 c=0
Using the discriminant of b^2 -4ac = 0 the value of k works out as -2