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

Find the value of ((a+b)/(a-b)) , If arg (a/b) = pi/2, then find the value ...

If arg (a/b) = pi/2, then find the value of ((a+b)/(a-b)) where a,b are complex numbers. Ans) Arg (a/b) =Pi/2 Tan-1   (a/b)=   Pi/2 A/B = tanP/2 ,therefore a/b=infinity.

Math 100, introduction to decimals

introduction to decimals

Find the time required for an enlargement, 1. The polynomial G(x) = -0.006x...

1. The polynomial G(x) = -0.006x4 + 0.140x3 - 0.53x2 + 1.79x measures the concentration of a dye in the bloodstream x seconds after it is injected. Does the concentration increase

Pre calc, - Find the total surface area of a frustum of a cone. (Include to...

- Find the total surface area of a frustum of a cone. (Include top and bottom). The equation that I have for volume is v=1/3 pi x h(r^2+rR+R^2) -the equation that I have found fo

Proof of various limit properties, PROOF OF VARIOUS LIMIT PROPERTIES In...

PROOF OF VARIOUS LIMIT PROPERTIES In this section we are going to prove several of the fundamental facts and properties about limits which we saw previously. Before proceeding

Fractions, A car travels 283 1/km in 4 2/3 hours .How far does it go in 1 h...

A car travels 283 1/km in 4 2/3 hours .How far does it go in 1 hour?

Actual solution to a differential equation, The actual solution is the spec...

The actual solution is the specific solution to a differential equation which not only satisfies the differential equation, although also satisfies the specified initial conditions

Holistic marketing , Necessity of holistic marketing or importance of holis...

Necessity of holistic marketing or importance of holistic marketing

Algebra problem solving , A rectangles lenth is (x+4) and width is (x+3).By...

A rectangles lenth is (x+4) and width is (x+3).By adding binomials give its perimiter

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