Precalculus Calculator Online

Introduction :

Precalculus calculator online is one interesting topics in mathematics. Precalculus calculator online is used to solve different types of precalculus problems. Calculator is a web-based tool to solve the problems. Online is nothing but the one computer is connected with another computer through a network or a cable. Here we solve some precalculus calculator online problems.

Example Problems for Online Precalculas Calculator:

Example problems for online precalculas calculator are given below:

Example 1:

Solve the quadratic equation x2 + x – 42.

Solution:

Let f(x) = x2 + x – 42

Now, plug f(x) = 0

x2 - 6x +7x - 42 = 0

x(x - 6) + 7(x - 6) = 0

(x - 6)(x + 7) = 0

x = 6; x = -7

The roots are x = 6, x = -7.

Example 2:

Solve 12x – 4y + 20 = 0. Find the slope and y-intercept for the given straight line.

Solution:

12x – 4y + 20 = 0

– 4y = – 12x – 20

Dividing by -4,

y = 3x + 5 ? (1)

General form of a straight line is,

y = mx + b ? (2)

Where, m = slope of a line,

b = y intercept of a line,

Here, y = 3x + 5

Compare the equation (1) and (2), we get,

Slope of the line m = 3,

y-intercept of the line b = 5.


Additional Example problems for online precalculas calculator are given below:

Example 3:

Find the center and radius of the circle for the given standard equation x2 + 10x + y2 – 8y – 7 = 0

Solution:

Given: x2 + 10x + y2 – 8y – 7 = 0

Standard equation for circle with center (a, b) and radius r is,

(x - a)2 + (y - b)2 = r2

Completing the x terms and y terms on the square that gives

(x2 + 10x + 10) + (y2 - 8y + 8) – 7 - 10 - 8 = 0

(x2 + 10x +10) + (y2 - 8y + 8) = 7 + 10 + 8

(x + 10)2 + (y - 8)2 = 25,

Solution to the center of the circle is (10, -8), and the radius is 5.

Example 4:

Find the vertex of the parabola y = 5x2 – 30x + 9

Solution:

General form:

x-coordinate for the vertex of the parabola is x = -b/2a,

y-coordinate is find by substitute the value for x into f(x)

Given:  y = 5x2 – 30x + 9

We know that x = -b/2a,

Here a = 5, b = -30

So that,   X = -b/2a = -(-30)/(2*5) = 3

And then y = 5(32) – 30(3) + 9 = 45 – 90 + 9 = -36

Solution to the problem is x = 3 and y = -36.