Solve The Quadratic Equation 8x^2 - 14x + 3 = 0

English0CISCE(English Medium) ICSE Class 10 Question PapersQuestion Papers416Textbook Solutions46566MCQ Online Mock Tests7Important Solutions6864Concept Notes & Videos399Time Tables20SyllabusSolve the quadratic equation 8x2 – 14x + 3 = 0 When x ∈ I (integers) When x ∈ Q (rational numbers) - Mathematics

Advertisements

Advertisements

Question

Solve the quadratic equation 8x2 – 14x + 3 = 0

1. When x ∈ I (integers)
2. When x ∈ Q (rational numbers)

Sum

Advertisements

SolutionShow Solution

Given quadratic equation is 8x2 – 14x + 3 = 0

`=>` 8x2 – 12x – 2x + 3 = 0

`=>` 4x(2x – 3) – (2x – 3) = 0

`=>` (2x – 3)(4x – 1) = 0

`=>` (2x – 3) = 0 or (4x – 1) = 0

`=> x = 3/2` or `x = 1/4`

i. When x ∈ I the equation 8x2 – 14x + 3 = 0 has no roots

ii. When x ∈ Q the roots of 8x2 – 14x + 3 = 0 are

x = `3/2` or x = `1/4`

shaalaa.comQuadratic Equations Report Error Is there an error in this question or solution?

Video TutorialsVIEW ALL [5]

• view Video Tutorials For All Subjects
• Quadratic Equationsvideo tutorial00:06:43
• Quadratic Equationsvideo tutorial00:10:08
• Quadratic Equationsvideo tutorial00:17:19
• Quadratic Equationsvideo tutorial00:14:09
• Quadratic Equationsvideo tutorial01:12:00

RELATED QUESTIONS

A train travels at a certain average speed for a distance of 63 km and then travels at a distance of 72 km at an average speed of 6 km/hr more than its original speed. If it takes 3 hours to complete the total journey, what is the original average speed?

A shopkeeper purchases a certain number of books for Rs. 960. If the cost per book was Rs. 8 less, the number of books that could be purchased for Rs. 960 would be 4 more. Write an equation, taking the original cost of each book to be Rs. x, and solve it to find the original cost of the books.

Check whether the following is quadratic equation or not.

`x^2 - 2x - sqrtx - 5 = 0`

In the following, determine whether the given values are solutions of the given equation or not:

`x^2-sqrt2x-4=0`, `x=-sqrt2`, `x=-2sqrt2`

Solve the following equation and give your answer correct to 3 significant figures: 5x² – 3x – 4 = 0

Find the value of k for which the equation 3x2 – 6x + k = 0 has distinct and real roots.

Choose the correct answer from the given four options :

If `(1)/(2)` is a root of the quadratic equation 4x2 – 4kx + k + 5 = 0, then the value of k is

Solve the following equation by using formula :

`x(3x + 1/2)` = 6

Solve the following equation by using formula :

`(3x - 4)/(7) + (7)/(3x - 4) = (5)/(2), x ≠ (4)/(3)`

Solve for x using the quadratic formula. Write your answer correct to two significant figures:

(x – 1)2 – 3x + 4 = 0

Question Bank with Solutions

• Maharashtra State Board Question Bank with Solutions (Official)

Textbook Solutions

• Balbharati Solutions (Maharashtra)
• Samacheer Kalvi Solutions (Tamil Nadu)
• NCERT Solutions
• RD Sharma Solutions
• RD Sharma Class 10 Solutions
• RD Sharma Class 9 Solutions
• Lakhmir Singh Solutions
• TS Grewal Solutions
• ICSE Class 10 Solutions
• Selina ICSE Concise Solutions
• Frank ICSE Solutions
• ML Aggarwal Solutions

NCERT Solutions

• NCERT Solutions for Class 12 Maths
• NCERT Solutions for Class 12 Physics
• NCERT Solutions for Class 12 Chemistry
• NCERT Solutions for Class 12 Biology
• NCERT Solutions for Class 11 Maths
• NCERT Solutions for Class 11 Physics
• NCERT Solutions for Class 11 Chemistry
• NCERT Solutions for Class 11 Biology
• NCERT Solutions for Class 10 Maths
• NCERT Solutions for Class 10 Science
• NCERT Solutions for Class 9 Maths
• NCERT Solutions for Class 9 Science

Board / University Study Material

• CBSE Study Material
• Maharashtra State Board Study Material
• Tamil Nadu State Board Study Material
• CISCE ICSE / ISC Study Material
• Mumbai University Engineering Study Material

Question Paper Solutions

• CBSE Previous Year Question Papers With Solutions for Class 12 Arts
• CBSE Previous Year Question Papers With Solutions for Class 12 Commerce
• CBSE Previous Year Question Papers With Solutions for Class 12 Science
• CBSE Previous Year Question Papers With Solutions for Class 10
• Maharashtra State Board Previous Year Question Papers With Solutions for Class 12 Arts
• Maharashtra State Board Previous Year Question Papers With Solutions for Class 12 Commerce
• Maharashtra State Board Previous Year Question Papers With Solutions for Class 12 Science
• Maharashtra State Board Previous Year Question Papers With Solutions for Class 10
• CISCE ICSE / ISC Board Previous Year Question Papers With Solutions for Class 12 Arts
• CISCE ICSE / ISC Board Previous Year Question Papers With Solutions for Class 12 Commerce
• CISCE ICSE / ISC Board Previous Year Question Papers With Solutions for Class 12 Science
• CISCE ICSE / ISC Board Previous Year Question Papers With Solutions for Class 10

Other Resources

• Entrance Exams
• Video Tutorials
• Question Papers
• Question Bank Solutions
• Question Search (beta)
• Privacy Policy
• Terms and Conditions
• Contact Us
• About Us
• Shaalaa App
• Ad-free Subscriptions

© 2025 Shaalaa.com | Contact Us | Privacy PolicyShare 0 0 0 0 0Notifications

Select a course

CANCELEnglishहिंदीमराठीuserLoginCreate free accountemail:password:Log in Forgot password?Course(English Medium) ICSE Class 10 CISCE

• Home
• Class 1 - 4
• Class 5 - 8
• Class 9 - 10
• Class 11 - 12
• Entrance Exams
• Search by Text or Image
• Textbook Solutions
• Study Material
• Remove All Ads

• Change mode
• Log out

Use app×