maths
posted by Jayden Haddy .
If the sum of the squares of the roots of the quadratic equation ax^2 + bx + c = 0 is m:n, prove that b^2= 2ac + 4a^2
I really have no idea how to prove it so pls help

one root: [b+sqrt(b^24ac)]/2a
squared: b^2 2bsqrt(b^24ac) + b^24ac]/4a^2
second root : [bsqrt(b^24ac)]/2a
squared: b^2 +2bsqrt(b^24ac) + b^24ac]/4a^2
sum: [ 4 b^2  8ac ] / 4a^2
= [b^2 2ac]/a^2
now I have no idea what m:n means so you have to take it from there.
Respond to this Question
Similar Questions

trig
if p and q satisfy the equation atanx+bsecx=c then prove tan(p+q)=2ac/a2c2 
math
My math teacher wants us to prove that all of our answers are correct. But how am I supposed to be able to prove stuff, like this, for example. The directions want you to write out the words in to an equation. Seven is the sum of X … 
maths
Prove that if p and q are rational and p is not equal to 0, the roots of the quadratic equations p x(square) + 2qx p +2q = 0. 
maths
Prove that if p and q are rational and p is not equal to 0, the roots of the quadratic equations p x(square) + 2qx p +2q = 0 are rational. 
maths
prove that if m is not equal to n, the equation (m^2+n^2)x^2  2(m+n)x + 2=0 has unreal roots. 
maths
If the ratio of the roots of the quadratic equation ax^2 + bx +c =0 is m:n prove that mnb^2=(m+n)^2 ac 
maths
If a,b and c € R, then prove that the roots of the eqn 1/(xa) + 1/(xb) + 1/(xc) =0 are always real and cannot have roots if a=b=c. 
PreCalculus (Check)
Please tell me what I'm doing wrong... The side lengths of tops of three squares tables can be described as three consecutive integers. The combined area of the table tops is 677 sq in. Algebraically, determine the roots of the quadratic … 
maths quadratic eqn
one of the roots of the quadratic equation x^2(4+k)x+12=0 fine, 1)the roots of the equation 2)the possible values of k please show your workings thanks in advance. 
Math
If the roots of the quadratic equation ax^2+bx+c=0 are in the ratio r:1 prove that acr^2+(2ac_b^2)r+ac=0