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Interesting Patterns

Solve x2 -a...

Question

Solve $x^{2} - (a + b) x + a b = 0$

A

- a

or

- b

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B

a

or

b

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C

- a

or

b

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D

a

or

- b

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Solution

The correct option is B $a$ or $b$
$x^{2} - (a + b) x + a b = x^{2} - a x - b x + a b = 0$
or $x (x - a) - b (x - a) = 0$ or $(x - a) (x - b) = 0$
$∴ x = a$ or $x = b$

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