Math, asked by arunb3270, 3 months ago

if alpha and beta are the zeroes of the quadratic polynomial p(x)=x2-5x+6,find the value of alpha2 +beta2,aplha3+beta3​

Answers

Answered by krrishkaiga
1

Answer:

x² - 5x + 6

⇒ a = 1; b = -5; c = 6

Finding the zeroes of the polynomial

\alpha +\beta = -b/a

\alpha +\beta = -(-5)/1

\alpha +\beta = 5 ------------> eq. 1

\alpha \beta = c/a

\alpha \beta = 6/1

\alpha \beta = 6

∴ The zeroes are 5 and 6.

(\alpha +\beta )^2 (\alpha +\beta )^3

(5)²×(5)³

25×125

3125

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