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2x²-x=0.5 is more manageable in the standard quadratic form : 2x2 - x - 0.5 = 0
double this to get rid of that pesky 0.5 : 4x2 - 2x -1 = 0
The quadratic formula solves ax2 + bx + c =0 using x = (-b +/- (b2-4ac) 0.5 ) / 2a
x equals [minus b plus or minus (square root of {b squared minus 4ac})] all over 2a
putting in a=4, b=-2, c=-1 gives (2 +/- (4 + 16)0.5 ) / 8
which reduces to( 1 +/- (5)0.5) / 4
this evaluates to x= .809 or -.309
Notice that plus or minus square root (b2 - 4ac) usually produces two different solutions. Equations in the second degree always have two solutions; if the quadratic is such that b2 equals 4ac the formula seems to give only one solution. Don't worry about this; there are still two solutions, they just happen to be identical!
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What does i squared equal?
i = sqrt of (-1) ( imaginary) i squared = sqrt(-1) x sqrt (-1) = -1 (minus one)
What does the number 1 squared equal?
one squared equals one.
What does minus one times minus one equal-?
-1 multiplied by -1 is 1
By factoring what is 3c squared minus 17c minus 6?
3c(squared)-17c-6 = 0 (3c+1)(c-6) = 0 c= negative one third or positive 6
What is cos squared of pi over 4?
If working in radians, the cosine of one-quarter of pi is equal to the square root of 0.5. Squaring this gives 0.5, or exactly one-half.
What is x squared minus one equal two using square root?
X= plus or minus 1
What does i squared equal?
i = sqrt of (-1) ( imaginary) i squared = sqrt(-1) x sqrt (-1) = -1 (minus one)
How does one half squared equal one fourth?
One half squared equals one fourth because when you multiply one half by one half you get one fourth. This is the equivalent of saying that half of one half is one fourth.
What is one minus one half and minus one third?
1 minus 1/2 minus 1/3 is equal to 0.166667
What is One minus x squared plus x squared minus one minus four?
-22 - -22
What two minus one and one half equal?
1/2
What does one one half minus three fourth equal?
one forth
What does one third minus one half equal?
1/3 minus 1/2 is -1/6
What does seven and one half minus two and one fifth equal?
A number.
What does 3 3 fourths minus one half equal?
7.75
What is 6 minus one half equal to?
5 and 1/2
What is tree fourths minus one half equal to?
3/4 minus 1/2 is 1/4.
