Question

the roots of the equation 2 x square - 7 x + 5 equal to zero or alpha and beta without solving for the roots find alpha + 2 Beta + 2 + beta + 2 alpha + 2​

Answer 1

Answer:

2x^2-7x+5=0. ..... (1)

we have to find,

3alpha+3beta+4 (according to the question)

3(alpha+beta)+4 ...... (2)

we know that,

alpha+beta=-b/a=7/2

by putting the value of alpha+beta in (2) we get,

3×7/2+4

21/2+4

29/2

Answer 2

Answer:

2x square -7x+5

let alpha and beta be the zeroes of the equation

alpha + beta =-b/a=7/2••••••••••••••1

alpha . beta=c/a=5/2

(alpha + beta)square - (alpha - beta)square=4alpha.beta

49/4-20/2= (alpha - beta)square

9/4 =(alpha - beta)square

3/2 = alpha - beta••••••••••••••••••• 2

from equation (1) and (2) ,we get

alpha=5/2 , beta=2/2=1

2(1)+2+1+2(5/2)+2=12. ¶¶¶¶¶¶