- #1
jinx007
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A curve equation is y = 3x - x^3/2
find the value of X when y=0
please help me i don't know how to proceed..!
find the value of X when y=0
please help me i don't know how to proceed..!
thrill3rnit3 said:0 = 3x - x3/2
x3/2 = 3x
tell me if you still need help after that
i want to know how to find the value of xthrill3rnit3 said:0 = 3x - x3/2
x3/2 = 3x
tell me if you still need help after that
jinx007 said:i want to know how to find the value of x
Writing the equation as x3/2 = 3x is NOT a good strategy. Instead, work with x3 - 6x = 0 (equivalent to the one you started with) and factor the cubic expression.thrill3rnit3 said:0 = 3x - x3/2
x3/2 = 3x
tell me if you still need help after that
That's why factoring is a better strategy - you don't lose solutions.thrill3rnit3 said:They both yield the same answers, except that you lose the solution x=0 if you do the first method. I'm sorry if I forgot to make that clear.
The equation of a curve can be found using a variety of methods, depending on the type of curve. Some common methods include using the slope-intercept form, point-slope form, or the general form of a quadratic equation. If you are given a set of points on the curve, you can also use regression analysis to find the equation.
A linear curve has a constant slope and can be represented by a straight line, while a nonlinear curve has a varying slope and cannot be represented by a straight line. Linear curves follow the equation y = mx + b, while nonlinear curves follow more complex equations such as y = ax^2 + bx + c.
Yes, most scientific calculators have built-in functions for finding the equation of a curve. You can enter the coordinates of the points on the curve and use the regression function to find the equation.
To plot a curve based on its equation, you can use a graphing calculator or graphing software. Simply input the equation and the program will plot the curve for you. Alternatively, you can manually plot points by substituting different values for x and solving for y.
Yes, if the curve represents a relationship between two variables, you can use the equation to make predictions about future values. However, it is important to note that the accuracy of these predictions depends on the accuracy of the data used to create the curve.