DashboardNewsSettingsHelp
Get Premium
Dashboard
Dashboard Sign out
McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
5. Solving Quadratic Equations by Using the Quadratic Formula
Continue to next subchapter

Exercise 5 Page 137

Identify a, b and c.

0.6, 2.5

Practice makes perfect

We will use the Quadratic Formula to solve the given quadratic equation. ax^2+ bx+ c=0 ⇕ x=- b± sqrt(b^2-4 a c)/2 a We first need to identify the values of a, b, and c. 10x^2-31x + 15 = 0 ⇕ 10x^2+( - 31)x+ 15=0 We see that a= 10, b= - 31, and c= 15. Let's substitute these values into the Quadratic Formula.

x=- b±sqrt(b^2-4ac)/2a
SubstituteValues

Substitute values

x=- ( -31)±sqrt(( - 31)^2-4( 10)( 15))/2( 10)
â–¼
Solve for x and Simplify
NegNeg

- (- a)=a

x=31±sqrt((- 31)^2-4(10)(15))/2(10)
CalcPow

Calculate power

x=31±sqrt(961-4(10)(15))/2(10)
Multiply

Multiply

x=31±sqrt(961-600)/20
SubTerm

Subtract term

x=31±sqrt(361)/20
CalcRoot

Calculate root

x=31 ± 19/20

The solutions for this equation are x= 31 ± 1920. Let's separate them into the positive and negative cases.

x=31± 19/20
x_1=31-19/20 x_2=31 + 19/20
x_1=12/20 x_2=50/20
x_1=0.6 x_2=2.5

Using the Quadratic Formula, we found that the solutions of the given equation are x_1=0.6 and x_2=2.5.

Subchapter links expand_more
arrow_right Exercises p.137-139
1
Exercises 2 (Page 137)
Exercises 3 (Page 137)
Exercises 4 (Page 137)
Exercises 5 (Page 137)
Exercises 6 (Page 137)
Exercises 7 (Page 137)
Exercises 8 (Page 137)
Exercises 9 (Page 137)
Exercises 10 (Page 137)
Exercises 11 (Page 137)
Exercises 12 (Page 137)
Exercises 13 (Page 137)
Exercises 14 (Page 137)
Exercises 15 (Page 137)
Exercises 16 (Page 137)
Exercises 17 (Page 137)
Exercises 18 (Page 137)
Exercises 19 (Page 137)
Exercises 20 (Page 137)
Exercises 21 (Page 137)
Exercises 22 (Page 137)
Exercises 23 (Page 137)
Exercises 24 (Page 137)
Exercises 25 (Page 137)
Exercises 26 (Page 137)
Exercises 27 (Page 137)
Exercises 28 (Page 137)
Exercises 29 (Page 137)
Exercises 30 (Page 137)
Exercises 31 (Page 137)
Exercises 32 (Page 137)
Exercises 33 (Page 137)
Exercises 34 (Page 137)
Exercises 35 (Page 137)
Exercises 36 (Page 137)
Exercises 37 (Page 137)
Exercises 38 (Page 137)
Exercises 39 (Page 137)
Exercises 40 (Page 137)
Exercises 41 (Page 137)
Exercises 42 (Page 138)
Exercises 43 (Page 138)
Exercises 44 (Page 138)
Exercises 45 (Page 138)
Exercises 46 (Page 138)
Exercises 47 (Page 138)
Exercises 48 (Page 138)
Exercises 49 (Page 138)
Exercises 50 (Page 138)
Exercises 51 (Page 138)
Exercises 52 (Page 138)
Exercises 53 (Page 138)
Exercises 54 (Page 138)
Exercises 55 (Page 138)
Exercises 56 (Page 138)
Exercises 57 (Page 138)
Exercises 58 (Page 138)
Exercises 59 (Page 139)
Exercises 60 (Page 139)
Exercises 61 (Page 139)
Exercises 62 (Page 139)
Exercises 63 (Page 139)
Exercises 64 (Page 139)
Exercises 65 (Page 139)
Exercises 66 (Page 139)
Exercises 67 (Page 139)
Exercises 68 (Page 139)
69 engineering
70 engineering
71 engineering
72 engineering
73 engineering
74 engineering
75 engineering
Exercises 76 (Page 139)
Exercises 77 (Page 139)
Exercises 78 (Page 139)
Exercises 79 (Page 139)
Exercises 80 (Page 139)
Exercises 81 (Page 139)