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If alpha and beta are the zeroes of $2 x^{2} - 5 x + 3$ , find the value of alph $a^{2}$ + bet $a^{2}$ .

Class 10Zeroes and CoefficientsAlgebra — Polynomials

A $\frac{13}{4}$
B $\frac{25}{4}$
C $\frac{3}{2}$
D $\frac{5}{2}$

Step-by-Step Solution

Sum =

\frac{5}{2}

, product =

\frac{3}{2}

. alph

a^{2}

+ bet

a^{2} = (s u m)^{2} - 2

(product) =

\frac{25}{4} - 3 = \frac{25}{4} - \frac{12}{4} = \frac{13}{4}

.

Answer: A)

\frac{13}{4}

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