ax2 + bx + c = 0 , find the value of x .
b2-4ac>o x is real (2 different values will solve)
b2-4ac=o -> a double root (a single real number will solve it)
x=real numbers.
b2-4ac<0
x= two complex number roots (either pure imaginary or a complex number with real and imaginary components)
Chat with our AI personalities
The answer depends on the form in which the quadratic function is given. If it is y = ax2 + bx + c then the x-coordinate of the turning point is -b/(2a)
assuming that this means log5125=x, x=3.
cos20 x cos40 x cos80 = 0.0300 radians = 0.125 degrees (the value for radians is given to four decimal places, the value in degrees is exact)
3x+2 x is a variable. A variable is a symbol (x, y, etc...) that does not have an assigned value.
The problem x = 2 sin x cannot be solved by using algebraic methods. One solution is to draw the graphs of y = x and y = 2 sin x. The two lines will intersect. The values of x where the intersection takes place are the solutions to this problem. You can tell from the graph that one solution is x=0 and verify this contention by noting that 2 sin(0) = 0. You can find the other solution through numerical methods and there are many that will give you the correct solution. Perhaps the simplest is to start with a value of X like pi/2 and then take the average of 2*sin(X) and X. Using that as your new value, again take the average of 2*sin(X) and X. As you continue to do this, the value will get closer and closer to the desired value. After 20 steps or so, the precision of your calculator will probably be reached and you will have a pretty good answer of about 1.89549426703398. (A spreadsheet can be used to make these calculations pretty easily.)