Algebra
posted by omar .
Find the roots of the given equation by completing the square.
αx^2 + βx + δ = 0

Do you mean ax^2+ bx+c=0 ??

I think that's safe. The symbols used don't really matter. It's easier to type Roman letters, so I'll use those
ax^2 + bx + c = 0
a(x^2 + b/a x) = c
a(x^2 + b/a x + (b/2a)^2) = (b/2a)^2  c
a(x + (b/2a))^2 = (b^2  4ac)/4a
(x + b/2a)^2 = (b^2  4ac)/4a^2
x + b/2a = ±√(b^2  4ac)/2a
x = [b ± √(b^2  4ac)]/2a
Look familiar? 
post it.
Respond to this Question
Similar Questions

Math
If α and β are two angles in Quadrant II such that tan α= 1/2 and tan β = 2/3, find cos(α+β) Work: cos(α+β) = [ 1  (tan α)(tan β) ] / [ 1 + (tan α)(tan β)] cos(α+β) … 
math
1. Let α, β be the roots of the equation x2  px + r = 0 and α/2, 2β be the roots of the equation x2  qx + r = 0. Then the value of r is ? 
math
The roots of the polynomial f(x)=2x3+20x2+201x+2013 are α,β and γ. What is the value of −(α+1)(β+1)(γ+1)? 
Trigonometry
The quadratic equation x^2−9x+10=0 has roots tanα and tanβ, where 0∘<α+β<180∘. What is the measure of α+β (in degrees)? 
math
Let α and β be the roots of 3x2+4x+9=0. Then (1+α)(1+β) can be expressed in the form ab, where a and b are coprime positive integers. Find a+b. 
Maths
Let α and β be the roots of 3x^2+4x+9=0. Then (1+α)(1+β) can be expressed in the form a/b, where a and b are coprime positive integers. Find a+b. 
math
Complex numbers α and β satisfy αα¯=ββ¯=−17,α+β=7i. What is the value of αβ? 
Pure Mathematics
4) The roots of the equation z^2+2z+4=0 are denoted by α and β. a) find α and β in the form re^iθ, giving the values of r and θ b) Using de Moivre's Theorem, show that α^3=β^3. c) find the exact … 
Physics
Two cars, A and B, travel in a straight line. The distance of A from the starting point is given as a function of time by xA(t)=αt+βt^2, with α=2.60m/s and β=1.20m/s^2. The distance of B from the starting point … 
trigonometry
In questions 2A, 2B, and 2C below, find the exact values using the given information: sin α = 1/6 with α between 0 and π/2 sin β = 3/5 with β between π/2 and π 2A. Find cos (α + β) 2B. Find …