Find quadratic equation using the quadratic formula, Mathematics

Assignment Help:

Find quadratic equation using the Quadratic Formula:

Solve the subsequent quadratic equation using the Quadratic Formula.

4x2 + 2 = x2 - 7x:

Solution:

Step 1. Write the equation in general forms.

4x2 + 2 = x2 -7x

3x2 + 7x + 2 = 0

a= +3, b = +7, c = +2

1029_Find quadratic equation using the Quadratic Formula.png

Step 2.

x = (6 ± √20)/2

x = 3 ± 1/2√20

2446_Quadratic Formula2.png

x = 3 ± √5

x = 3 + √5, 3 - √5

x = 3 + 2.236, 3 -2.236

x = 5.236, 0.746

Step 3. Check the roots.

2x2 + 4 = 6x +x2

2(3 + √5)2 +4 = 6(3 + √5) + (3+√5)2

2(9 + 6√5 + 5) + 4 = 18 +6√5 + 9 + 6√5 + 5

18 + 12√5 + 10 + 4 = 18 + 12√5 + 9 +5

32+ 12√5 = 32 + 12√5

And,

2x2 + 4 = 6x + x2

2(3-√5)2 + 4 = 6(3- √5) + (3 - √5)2

2(9-6√5 + 5) + 4 = 18-6√5 + 9 -6√5 + 5

18 - 12√5 + 10 + 4 = 18 - 12√5 + 9 + 5

32- 12√5 = 32 - 12√5

Thus, the roots check.

The Quadratic Formula can be used to search the roots of any quadratic equation.   For a pure quadratic equation in that the numerical coefficient b equals zero, the Quadratic Formula (2-8) decreased to the formula given as Equation 9.

1297_Find quadratic equation using the Quadratic Formula2.png                                                                   

For b = 0, this decreases to the subsequent.

1284_Find quadratic equation using the Quadratic Formula3.png                                                                           


Related Discussions:- Find quadratic equation using the quadratic formula

Describe the basic concepts and terminology, Describe the Basic Concepts an...

Describe the Basic Concepts and Terminology? Somebody tells you that x = 5 and y = 3. "What does it all mean?!" you shout. Well here's a picture: This picture is what's

Find out the maximum number of ounces she can ship for $10, The cost of shi...

The cost of shipping a package by Shipping Express is $4.85 plus $2 per ounce of the weight of the package. Sally only has $10 to spend on shipping costs. Which of the subsequent c

How to converting fractions to decimals explain with example, How to Conver...

How to Converting Fractions to Decimals explain with example? To convert fractions to decimals, divide the numerator by the denominator. The quotient is the decimal. Ex

Rectilinear figure, what is a redtilinear figure? like what are for the req...

what is a redtilinear figure? like what are for the requirments for a shape to be called that? example a regular polygon has all sides and angles equal. i cant find that kind of dr

Stats, the automatic hopper loader is set to put 36 tons of coal in each ca...

the automatic hopper loader is set to put 36 tons of coal in each car. the actual weights of coal loaded into each car arw normally distributed with a mean of 36 tons and a standar

Right angle triangle, If the points for a right angle triangle are XYZ wher...

If the points for a right angle triangle are XYZ where do I mark the points?

Binary, how to divide a binaries

how to divide a binaries

Find out how much acid solution mixed, A chemist has one solution which is ...

A chemist has one solution which is 50% acid and a second which is 25% acid. How much of each should be mixed to make 10 litres of 40% acid solution.

Velocity of a particle, A particle moves along a straight line so that afte...

A particle moves along a straight line so that after t secs its distance from fixed point O on the line is given by s=(t-1)^2(t-2).find the distance from O when the velocity is zer

Compound angles, determine the exact value of cos (11*3.145/6)

determine the exact value of cos (11*3.145/6)

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