If a and B are the roots of the equation $x^{2} - 5 x + 6 = 0$ .
Find $a^{2} + B^{2}$ .

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Solution

Given equation is
$x^{2} - 5 x + 6 = 0$
$(x - 3) (x - 2) = 0$
$∴ x = 2, 3$
$∴ a = 2, B = 3$
$∴ a^{2} + B^{2}$
$= 4 + 9 = 13$

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If a and B are the roots of the equation x2−5x+6=0.Find a2+B2.

Given equation is x2−5x+6=0(x−3)(x−2)=0∴x=2,3∴a=2,B=3∴a2+B2=4+9=13

If a and B are the roots of the equation $x^{2} - 5 x + 6 = 0$ .
Find $a^{2} + B^{2}$ .

Given equation is
$x^{2} - 5 x + 6 = 0$
$(x - 3) (x - 2) = 0$
$∴ x = 2, 3$
$∴ a = 2, B = 3$
$∴ a^{2} + B^{2}$
$= 4 + 9 = 13$