Question

alpha and beta are the zeros of the quadratic equation x^2-5 then form a​

Answer 1

Answer:

If α and β are zeroes of a quadratic polynomial x2-5, then form a quadratic polynomial whose zeroes are 1+α and 1+β

Step-by-step explanation:

ax²+bx= 0

(a and b are the roots of equation)

sum of roots = a+b = -b/a

product of roots= a.b =c/a

now equation is

x²-5---->.

x²+0x -5

a=1, b= 0, c=-5

sum of roots = 1+a. + 1+ b

= 2+a+b

= 2

product of roots =a.b

=(1+a).(1+b)

= 1+a+b+a.b= 1+0-5. = -4

hence equation is

f(x) = ax² - ( sum of roots ) + product of roots

f(x) = x² - 2x -4

hope it helps

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