Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Find the roots of the following quadratic equations, if they exist, by the method of completing the square: 2 x ^2 - 7x + 3 = 0

Q1.    Find the roots of the following quadratic equations, if they exist, by the method of completing the square:

                (i)    2x^2 - 7x +3 = 0

Answers (1)

best_answer

Given equation: 2x^2 - 7x +3 = 0

On dividing both sides of the equation by 2, we obtain

\Rightarrow x^2-\frac{7}{2}x+\frac{3}{2} = 0

\Rightarrow (x-\frac{7}{4})^2 + \frac{3}{2} - \frac{49}{16} = 0

\Rightarrow (x-\frac{7}{4})^2 = \frac{49}{16} - \frac{3}{2}

\Rightarrow (x-\frac{7}{4})^2 =\frac{25}{16}

\Rightarrow (x-\frac{7}{4}) =\pm \frac{5}{4}

\Rightarrow x =\frac{7}{4}\pm \frac{5}{4}

\Rightarrow x = \frac{7}{4}+\frac{5}{4}\ or\ x = \frac{7}{4} - \frac{5}{4}

\Rightarrow x = 3\ or\ \frac{1}{2}

 

Posted by

Divya Prakash Singh

View full answer

Similar Questions

Trending Articles/News

anam-khan

When to expect CBSE class 10 session 2 result 2026? Steps to download
anam-khan

CBSE Board exams twice a year; here's how final Class 10 scores will be determined
anam-khan

CBSE Class 10 Exam 2026 LIVE: 10th science paper "moderate"; questions with solutions, analysis soon

Latest Question