Question

Solve question number 21

Answer 1

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Answer 2

${\underline{\huge{\mathbf{\color{pink}{question}}}}}$

If p, q are zeroes of polynomial$f(x) = 2x^2-7x + 3$ find the value of $p^2+q^2$

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${\underline{\huge{\mathbf{\color{pink}{solution}}}}}$

• mid term split

$2x^2 - 7x + 3$

$2x^2 - 6x - x + 3$

$2x(x-3) -1 (x-3)$

$(2x-1)(x-3)$

$2x - 1 = 0$ $x - 3 = 0$

$2x = 1$ $x = 3$

$x = \dfrac{1}{2}$ $x = 3$

• compare

zeros of polynomial f(x) = $\dfrac{1}{2} , 3$

p , q = $\dfrac{1}{2} , 3$

• finding value

$p^2 + q^2 = \dfrac {1^2}{2^2} + 3^2$

$p^2 + q^2 = \dfrac {1}{4} + 9$

$p^2 + q^2 = \dfrac {1+36}{4}$

$p^2 + q^2 = \dfrac {37}{4}$

$p^2 + q^2 = 9.25$

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