Check sibling questions

Question 4 - Quadratic Equations with Complex Roots - Chapter 4 Class 11 Complex Numbers

Last updated at May 29, 2023 by

Ex 5.3, 4 - Solve -x2 + x - 2 = 0 - Class 11 Complex - Quadaratic equation

Ex 5.3, 4 - Chapter 5 Class 11 Complex Numbers - Part 2

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class

Book a free demo

Transcript

Ex5.3, 4 Solve the equation –𝑥2 + 𝑥 – 2 = 0 –𝑥2 + 𝑥 – 2 = 0 The above equation is of the form 𝑎𝑥2 + 𝑏𝑥 + 𝑐 = 0 Where a = –1, b = 1, and c = –2 𝑥 = (−𝑏 ± √( 𝑏^2 − 4𝑎𝑐 ))/2𝑎 𝑥 = (−1 ± √((1)^2 − 4 × (−1) (−2)))/(2 × "(−" 1)) = (−1± √(1 − 4 × (+2)))/("−" 2) = (1 ± √(1 − 8))/(−2) = (− 1 ± √(− 7))/(−2) = (− 1 ± √( 7 ×−1))/(−2) = (−1 ± √7 𝑖)/(− 2) = (−(−1 ± √7 𝑖))/( 2) = (1 ∓ √7 𝑖)/2 Thus, 𝑥 = (1 ∓ √7 𝑖)/2

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.