Solve the subsequent quadratic equation, Mathematics

Solve the subsequent quadratic equation:

Solve the subsequent quadratic equation through taking the square roots of both sides.

3x2 = 100 - x2

Solution:

Step 1. Using the addition axiom, add x2 to both sides of the equation.

3x2  + x2          = 100 - x2  + x2

4x2       = 100

Step 2. Using the division axiom, divide both sides of the equation through 4.

4x 2 /4 = 100/4

x2  = 25

Step 3. Take the square root of both sides of the equation.

 

x2         = 25

√x2       = √25

x          = ±5

Thus, the roots are x = +5 and x = -5.

Step 4. Check the roots.

3x2       = 100 - x2

3(±5)2  = 100 - (±5)2

3(25)    = 100 - 25

75        = 75

If a pure quadratic equation is written in common form, a general expression can be written for its roots.  The common form of a pure quadratic is the subsequent.

ax2 + c = 0                                                                 

Using the subtraction axiom and subtract c from both sides of the equation.

ax2 = -c

Using the division axiom and divide both sides of the equation by a.

x2  = - c/a

Now take the square roots of both sides of the equation.

256_Solve the subsequent quadratic equation.png                                                            

Therefore, the roots of a pure quadratic equation written in common form ax2 + c = 0 are 1884_Solve the subsequent quadratic equation1.png.

Posted Date: 2/9/2013 2:59:09 AM | Location : United States







Related Discussions:- Solve the subsequent quadratic equation, Assignment Help, Ask Question on Solve the subsequent quadratic equation, Get Answer, Expert's Help, Solve the subsequent quadratic equation Discussions

Write discussion on Solve the subsequent quadratic equation
Your posts are moderated
Related Questions
A graph with a positive slope shows that the variables depicted on the axes goes in the similar directions.

Two angles are complementary. The larger angle is 15° more than twice the smaller. Find out the measure of the smaller angle. Let x = the number of degrees in the smaller angle


Two tanks initially contain 100 liter liquid each. Their initial concentration are listed in the Figure below. At time zero, the input and output valves are opened simultaneously w

Question: Find the quotient and remainder when f(x) = x 5 - x 4 - 4x 3 + 2x + 3 is divided by g(x) = x-2. Make sure the quotient and remainder are clearly identified.

GENERAL RULE A general rule is to subtract the probabilities with an even number of components inside the parentheses and add those with an odd number of components (one or th

Find out the area of the region bounded by y = 2 x 2 + 10 and y = 4 x + 16 . Solution In this case the intersection points (that we'll required eventually) are not going t

Do All Our Activities Involve Mathematics? :  The answer to this is 'yes' and 'no'. For those who look for mathematics and know where to look for it, it is 'yes'. For those who do

Regression line drawn as Y=C+1075x, when x was 2, and y was 239, given that y intercept was 11. calculate the residual

Larry earned $32,000 per year. Then he received a (3)1/4% rise. What is Larry's salary after the raise? If Larry earns a (3) 1/4 % (or 3.25%) raise, he will earn 103.25% of his