Solve the subsequent quadratic equation, Mathematics

Assignment Help:

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.


Related Discussions:- Solve the subsequent quadratic equation

Permuation and combination, how many words can be formed from letters of wo...

how many words can be formed from letters of word daughter such that each word contain 2vowles and 3consonant

Solving equations, darien agrees to sponsor her sister $8 plus $1 for every...

darien agrees to sponsor her sister $8 plus $1 for every mile she walks.Write an expression to show her total money

Numerical integration - simpson rule, (1)Derive, algebraically, the 2nd ord...

(1)Derive, algebraically, the 2nd order (Simpson's Rule) integration formula using 3 equally spaced sample points, f 0 ,f 1 ,f 2 with an increment of h. (2) Using software such

Triangles, ABC is a triangle right angled at c. let BC=a, CA=b, AB=c and lr...

ABC is a triangle right angled at c. let BC=a, CA=b, AB=c and lrt p be the length of the perpendicular from C on AB. prove that cp=ab and 1/p2=1/a2+1/b2

Trignometry, prove that sin A /cot A + cosec A = 2 + sinA / cot A - cosec A...

prove that sin A /cot A + cosec A = 2 + sinA / cot A - cosec A

Hcf and lcm, The HCF & LCM of two expressions are respectively (x+3) and (x...

The HCF & LCM of two expressions are respectively (x+3) and (x cube-7x+6). If one is x square+2x-3 , other is? Solution) (x+3) * (x^3-7x+6) = (x^2+2x-3) * y      ( ) (HCF*LCM=

Young entrepreneur, As a creative and innovative entrepreneur, we are requi...

As a creative and innovative entrepreneur, we are required to invent or improvise a product or service that benefits the society and the economy, so what do you think is it?

Example of hcf, Example  Find the Highest Common Factor of 54, 72...

Example  Find the Highest Common Factor of 54, 72 and 150. First we consider 54 and 72. The HCF for these two quantities is calculated as follows:

Explain the decimal system in detail, Explain The Decimal System in detail?...

Explain The Decimal System in detail? A decimal, such as 1.23, is made up of two parts: a whole number and a decimal fraction. In 1.23, the whole number is 1 and the decimal fr

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd