Grade 12Engineering Entrance ExamsIf roots of the equation x2 – bx + c = 0 be two consectutive integers, then b2 – 4c equals ? sudhanshu 12 Years agoGrade 12
Arun6 Years agoGiven equation is x x^2 −bx+c=0Let the roots be α and α+1Therefore, 2α+1=b⇒α(α+1)=cHence, b2 −4c=(2α+1)2 −4α(α+1)=1
Vikas TU6 Years ago(x - a)(x - a - 1)= x² - (a + 1)x - ax + a(a + 1)= x² - (2a + 1)x + a(a + 1) then b² - 4c = (2a + 1)² - 4a(a + 1)= 4a² + 1 + 4a - 4a² - 4a= 1