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
Determine the coordinates of the point equidistant from Salt Lake City and Helena

If 7sin 2 ?+3cos 2 ? = 4, show that tan? =   1/√3                      . Ans:    If 7 Sin 2 ? + 3 Cos 2 ? = 4 S.T. Tan?  1/√3 7 Sin 2 ? + 3 Cos 2 ? = 4 (Sin 2 ? + Cos 2 ?)


which shows the rate 12 inches of rain in 6 hours as a unit rate

how to divide fractions?

Evaluate following.                √16 and Solution To evaluate these first we will convert them to exponent form and then evaluate that since we already know how to

Eddie mkes $15.75 per hour. Estimate how much Eddie will make per year if he works 40 hours per week and 50 weeks per year.

Water in a canal 30 dm wide and 12 dm deep is flowing with a velocity of 10 km/h. How much area will it irrigate in 30 minutes if 8 cm of standing water is required for irrigation?

IN THIS WE HAVE TO ADD THE PROBABILITY of 3 and 5  occuring separtely and subtract prob. of 3 and 5 occuring together therefore p=(166+100-33)/500=233/500=0.466

Jay bought twenty-five $0.37 stamps. How much did he spend? To ?nd how much Jay spent, you must multiply the cost of each stamp ($0.37) through the number of stamps purchased (