Question

find the quadratic polynomial having alpha and beta as it zeroes when Alpha + beta =24 and alpha - beta =8

Answer 1

Hey !!!

@+€ = 24-----1)
@-€ = 8------2
for finding alpha and bita as roots of this equation we can substracting or add then we get @ and €
so we adding here

@ + € = 24
@ -€ = 8
--------------
2@ = 32
@ = 16

now putting the value of. @ on equation 1 then we get €

@ + € = 24
16 + € = 24

€ = 24 - 16= 8

now , as you know that a quadratic equation is in the form of
ax² + bx+c

@ = 15
€ = 9

@+€ = -b/a = -24 ------3)

@ ×€ = 128= c/a-----------4)

ax² - (@+€)x + @€

ax² - (24) + 128 [from 3 and 4 equation ]

here a = 1 so ,

the quadratic form is

(x² - 24x + 128) Answer

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Hope it helps you !!!

@Rajukumar111

Answer 2

hope this helps u ..........plz reply if it is correct