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

each player selects one of her two remaining chips , Consider the followin...

Consider the following parlor game to be played between two players. Each player begins with three chips: one red, one white, and one blue. Each chip can be used only once. To beg

Simplify the logical expression, Simplify the logical expression X‾ Y‾ + X‾...

Simplify the logical expression X‾ Y‾ + X‾ Z + Y Z +Y‾ Z W‾  Ans: The K-Map for the following Boolean expression is described by the following diagram. The optimized expression

Find the length of the boundary and the area of the shaded, The boundary of...

The boundary of the shaded portion in the adjoining figure consists of our half-circles and two quarter-circles.  Find the length of the boundary and the area of the shaded portion

Inequation, Solve the inequation: |x|

Solve the inequation: |x|

Functions , For the layman, a "function" indicates a relationsh...

For the layman, a "function" indicates a relationship among objects. A function provides a model to describe a system. Economists refer to deman

Limits-of-sum, limit 0 to 2(3x^2+2) Solution) integrate 3x^2 to x^3 and...

limit 0 to 2(3x^2+2) Solution) integrate 3x^2 to x^3 and 2 to 2x and apply the limit from 0 to 2 answer is 12.

Power series - sequences and series, Power Series We have spent quite...

Power Series We have spent quite a bit of time talking about series now and along with just only a couple of exceptions we've spent most of that time talking about how to fin

How much area will it irrigate in 30 minutes , Water in a canal 30 dm wide ...

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?

Retail price index, Retail price index This is weighted average of pri...

Retail price index This is weighted average of price relatives based on an average household in the base year. The items consumed are divided into groups as liker food, transp

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