0

Guest

Courses New

Find the roots of the following quadratic equations by factorisation: 2x^2 – x +1/8 = 0

 Find the roots of the following quadratic equations by factorisation: 
2x^2 – x +1/8 = 0 

Grade:12

1 Answers

Harshit Singh
askIITians Faculty 5963 Points
2 years ago
Dear Student

2x^2 – x +1/8 = 0
Taking LHS, =1/8 (16x^2 - 8x + 1)
= 1/8 (16x^2 - 4x -4x + 1)
= 1/8 (4x(4x - 1) -1(4x - 1))
= 1/8 (4x - 1)^2
The roots of this equation, 2x^2 – x + 1/8 = 0,
are the values of x for which (4x - 1)^2= 0
Therefore,
(4x - 1) = 0 or (4x - 1) = 0
⇒ x = 1/4 or x = 1/4
Thanks

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

Other Related Questions on 10 grade maths

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More