if alpha and beta are the roots of x²-6x+4=0 find the valve of alpha -beta the whole square
Answers
Answer:
Step-by-step explanation:
If ,α β are roots of quadratic eqn. 2. 0, ax bx c. + + = then. (. )( ) 0. a x x α β ... the valves of α β ... det (A)=3(4-0)-2(-20-0)+1(5-3)=3(4)-2(-20)+1(2)=12+40+2=54 ... It is a square matrix in which all the elements below the principle diagonal ... i.e. 6 x2 – 6x – 72 > 0.
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Answer:
Given:- a and b are the roots of the quadratic equation x^2-6x+4
To find:- (a-b)^2
Solution:-
we know that,
Sum of zeroes= -(coefficient of x)/coefficient of x^2
a+b= -(-6)/1
a+b= 6
(a+b)^2= a^2+b^2+2ab
(6)^2= a^2+b^2+2×4
36-8= a^2+b^2
a^2+b^2= 28
Now product of zeroes
ab= constant/coefficient of x^2
ab= 4
now (a-b)^2= a^2+b^2-2ab
= 28-2×4
= 28-8
= 20
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