Question

if a + b+c =0 and (a+b-c​

Answer 1

if a + b + c =0 and (a + b - c​) x² + (b + c- a) x + (c + a - b) has real and equal root then roots are real roots

For ur easy understanding few steps below :-)

b² - 4ac = 0

(b + c - a)²  - 4 (a + b - c​) (c + a - b) = 0  

(b + c - a)² - (4a +4b - 4c) (4c + 4a - 4b) = 0

FORMULA...

$(a + b - c)^{2} = a^{2} + b^{2} + c^{2} - 2ab + 2bc - 2ca.$

b²  + c²  + a²  - 2bc + 2ca - 2ab -  (4a +4b - 4c) (4c + 4a - 4b) = 0

b²  + c²  + a²  - 2bc + 2ca - 2ab = 0